The H.C.F and L.C.M of two numbers are 89 and 1335 respectively If One of The Numbers is 267 Find The Other Number
Answers
Answer:
HCF = 89
LCM = 1335
one no. = 267
other no. = ?
HCF × LCM = one no. × other no.
89×1335 = 267 × Other no.
89×1335/267 = other no.
89×5 = other no.
445 = other no.
Given : The H.C.F and L.C.M of two numbers are 89 and 1335 respectively One of The Numbers is 267
To Find : The Other Number
Solution:
HCF ( a , b) * LCM ( a, b) = a * b
a = 267
b = ?
HCF (267 , b) = 89
LCM ( 267 , b) = 1335
=> 89 * 1335 = 267 * b
=> 1335 = 3 b
=> b = 1335/3
=> b = 445
Other Number is 445
Additional Info:
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
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