# MARTHS ASSIGNMENT ON HCF AND LCM

**Rule 1**

To find the greatest number that will exactly divide x, y and z

Required number = HCF of x, y and z

**Rule 2**

To find the greatest number that will exactly divide x, y and z leaving remainders a, b and c respectively.

Required number = HCF of (x – a), (y – b) and (z – c)

**Rule 3**

To find the least number that which is exactly divisible by x, y and z

Required number = LCM of x, y and z

**SOME PROBLEMS**

- Find the HCF of 144, 180 and 192.
- Find the HCF of 624, 936 and 264.
- Find the greatest measure which is exactly contained in 10 litres 857 milliliters and 15 litres 86 millilitres.
- Find the greatest length which can be contained exactly in 10 m 5 dm 2 cm 4 mm and 12 m 7 dm 5 cm 2 mm.
- Find the HCF of 18.4, 23 and 27.6.

**See More Purchase Our Books**