find HCF by division method and reduce to the simplest form - 161/69 by the photo method
Answers
Step-by-step explanation:
Address input parameters & values.
Input parameters & values:
The given fraction = 161/69
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 161 = 7 x 23
Prime factors for 69 = 3 x 23
= (7 x 23) / (3 x 23)
step 3 solve & rewrite the fraction
= (7 )/(3 )
= 7/3
Thus, 7/3 is the simplified fraction for 161/69 by using the prime factorization method.
Given : Numbers 161 and 69
To Find : HCF
and Reduce 161/69 to simplest form
Solution:
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
161 = 7 * 23
69 = 3 * 23
HCF = 23
Using Division
69 ) 161 ( 2
138
____
23 ) 69 ( 3
69
____
0
Hence HCF = 23
161/69 = 7 * 23 / ( 3 * 23)
= 7/3
A fraction is in simplest form if Numerator and denominator are co prime.
There is no common factor other than 1 in Numerator and denominator
161/69 reduces to simplest form 7/3
HCF of 161 and 69 is 23
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