Euclid's Algorithm

Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.

Any contingent of $616$ members is to march behind an array band of $32$ members in a parade. The two are to march in the same number of columns. What is the maximum number of columns in which they can march?

If the HCF of $210$ and $5$ is expressible in the form $210\times 5+55y,$ find $y$.

The HCF of $13281 \text{and }15844$ is

Use Euclid's algorithm to find the HCF of $1651$ and $2032$.

Find the HCF of the following by using Euclid algorithm 50 and 70.

Use the Euclidean division algorithm to nd the HCF of $196$ and $38220$.

Find the HCF of 81 and 675 using the Euclidean division algorithm.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

 If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

Express the HCF of $468$ and $222$ as $468x+222y$ and find the values of $x$ and $y$, where $x$ and $y$ are integers.

Using Euclid’s Division Algorithm, find the HCF of $648$ and $1400$.

Using Euclid’s Division Algorithm, find the HCF of 130 and 91.

Let’s apply Euclid’s Division Lemma for different pairs of numbers, $a$ and $b$, to find the values of $q$ and $r$.

Aditi is emptying two water tanks that are filled with water using a jug. The water tanks have capacities of $420$ litres and $130$ litres. What is the maximum capacity of the jug she should use so that no water remains in the tanks?

Use Euclid’s algorithm to find the HCF of $4052$ and $12576$.

Which of the following does not satisfy the following property? A number which divides 542 and 128 and leaves a remainder 2 in both cases.

If HCF (1008, 20) = HCF (20, a) = HCF (a, b) where 1008 = 20×q + a; 20 = a×m + b where (q, a) and (m, b) are positive integers satisfying Euclid’s Division Lemma. What could be the values of a and b?

Question Direction: Answer the following questions by selecting the correct answer from the options given below.

Euclid’s division lemma states “Given positive integers a and b, there exist unique integers q and r satisfying a=bq+r”. Which of the following is true for r?

Question Direction: Answer the following questions by selecting the correct answer from the options given below.

Euclid’s algorithm is used for finding _____.