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Find the greatest possible length of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length ?

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Important Questions on HCF and LCM

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Monica, Veronica and Rachat begin to jog around a circular stadium. They complete their revolutions in 42 s, 56 s and 63 s, respectively. After how many seconds will they be together at the starting point?
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The capacity of two pots are 240 L and 112 L, respectively. Find the capacity of a container which can exactly measure the contents of the two pots?
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A least number of 4 digits when increased by 5 is completely divisible by 12, 15, 20 and 35. The number is ?
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A, B, C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 252 s, B in 308 s and C in 198 s. After what time will they meet again at the starting point?
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A milk vendor has 21 L of cow milk, 42 L of toned milk and 63 L of double toned milk. If he wants to pack them in cans, so that each can contains same number of litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required, is ?
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The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is?
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The LCM of two numbers is 520 and their HCF is 4. If one of the numbers is 52, then the other number is?