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HCF_LCM
1. The HCF of two nos is 14 and their LCM is 11592 . If one of the nos is 504 , find the other?
2. Find the largest no which can exactly divide 513,783,1107 .
3. Find the smallest no exactly divisible by 12,15,20,27 .
4. Find the least no which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case.
5. Find the largest no which divides 77 , 147 , 252 to leave the same remainder in each case.
6. Greatest no which can divide 1354 , 1806 and 2762 leaving the same remainder 10 in each case.
7. The greatest no that will divide 1657 , 2772 leaving respectively 6 , 5 as remainder.
8. The greatest no 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 nos is 14 times their HCF. The sum of LCM and HCF is 600 . If one no is 280 , then find the other no ?
11. Find the least number which is exactly divided by 28,36,45 when we add 19 to it
Problem 10 of 11
10. LCM of two nos is
times their HCF. The sum of LCM and HCF is
. If one no is
, then find the other no ?
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HCF_LCM
10. LCM of two nos is 14 times their HCF. The sum of LCM and HCF is 600 . If one no is 280 , then find the other no ?
`"LCM" = 14" HCF"`
`"LCM + HCF " = 600`
`=> 14 " HCF + HCF " = 600`
`=> 15 " HCF " = 600`
`=> "HCF " = 600 / 15 = 40`
Here, `"LCM" = 14 " HCF"`
`:. "LCM " = 14 * 40 = 560`.
`:. "Other No " = ( "HCF" * "LCM" ) / ("Given No"} = ( 40 * 560 ) / 280 = 80`.
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