Method and examples
 HCF_LCM 1. The HCF of two numbers is 14 and their LCM is 11592 . If one of the numbers is 504 , find the other? 2. Find the largest number which can exactly divide 513,783,1107 . 3. Find the smallest number exactly divisible by 12,15,20,27 . 4. Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case. 5. Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case. 6. Greatest number which can divide 1354 , 1806 , 2762 leaving the same remainder 10 in each case. 7. The greatest number that will divide 1657 , 2772 leaving respectively 6 , 5 as remainder. 8. The greatest number that will divide 290 , 460 , 552 leaving respectively 4 , 5 , 6 as remainder. 9. The product of HCF and LCM of 18 and 16 is 10. LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600 . If one number is 280 , then find the other number ? 11. Find the least number which is exactly divided by 28,36,45 when we add 19 to it Problem 8 of 11 8. The greatest number that will divide , , leaving respectively , , as remainder.

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