List of top Mathematics Questions on Some Problems on HCF and LCM asked in CBSE Class X

The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
Find the greatest number which divides 764 and 1198, leaving remainders 8 and 10 respectively.
A trader has three different types of oils of volume 870 l, 812 l and 638 l. Find the least number of containers of equal size required to store all the oil without getting mixed.
Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.
Two numbers are in the ratio 3 : 5 and their LCM is 180. Find the HCF of these two numbers.
Find the smallest number that is divisible by each of 8, 9, and 10.
The LCM of 24, 36 and 60 in terms of their prime factors is :
HCF \((132, 77)\) is:
Find the smallest number that is divisible by each of 8, 9, and 10.
The LCM of 24, 36 and 60 in terms of their prime factors is :
HCF \((132, 77)\) is: