HCF_LCM

 Problem : 1 [ HCF_LCM ]       Solve this type of problem 1. The HCF of two numbers is 14 and their LCM is 11592 . If one of the numbers is 504 , find the other? Show Answer A: "Here, HCF"=14, "LCM"=11592, "No1"=504 and "No2"=?"No1" * "No2" = "HCF" * "LCM""No2 "= ( "HCF" * "LCM" ) / ("No1") = ( 14 * 11592 ) / 504 = 322.

Problem : 2 [ HCF_LCM ]       Solve this type of problem
2. Find the largest number which can exactly divide 513,783,1107 .

Problem : 3 [ HCF_LCM ]       Solve this type of problem
3. Find the smallest number exactly divisible by 12,15,20,27 .

Problem : 4 [ HCF_LCM ]       Solve this type of problem
4. Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case.

Problem : 5 [ HCF_LCM ]       Solve this type of problem
5. Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case.

Problem : 6 [ HCF_LCM ]       Solve this type of problem
6. Greatest number which can divide 1354 , 1806 , 2762 leaving the same remainder 10 in each case.

Problem : 7 [ HCF_LCM ]       Solve this type of problem
7. The greatest number that will divide 1657 , 2772 leaving respectively 6 , 5 as remainder.

Problem : 8 [ HCF_LCM ]       Solve this type of problem
8. The greatest number that will divide 290 , 460 , 552 leaving respectively 4 , 5 , 6 as remainder.
 Problem : 9 [ HCF_LCM ]       Solve this type of problem 9. The product of HCF and LCM of 18 and 16 is Show Answer A: Product of HCF and LCM = product of given numbers = 18 * 16 = 288.
 Problem : 10 [ HCF_LCM ]       Solve this type of problem 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 ? Show Answer A: "LCM" = 14" HCF""LCM + HCF " = 600=> 14 " HCF + HCF " = 600=> 15 " HCF " = 600=> "HCF " = 600 / 15 = 40Here, "LCM" = 14 " HCF":. "LCM " = 14 * 40 = 560.:. "Other number " = ( "HCF" * "LCM" ) / ("Given number"} = ( 40 * 560 ) / 280 = 80.