GCF of 929/171, 1617/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 929/171, 1617/151 i.e 1/25821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/171, 1617/151.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 929/171,1617/151?
Given fractions are 929/171,1617/151
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 929/171,1617/151, numerators are 929,1617
Denominators are 171,151
The GCF of 929,1617 is 1 .
LCM of 171,151 is 25821.
The greatest common factor of 929/171,1617/151 = [GCF of 929,1617]/[LCM of 171,151]= 1/25821
Therefore, the GCF of 929/171,1617/151 is 1/25821.
To find the highest common factor of 929,1617, we have to find the factors of both numbers and list the highest common factor.
The factors of 929 are 1, 929
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The HCF of 929,1617 is 1.
Lets's calculate GCF of 929,1617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 929,1617 By Matching Biggest Common Factor Method
Now, list down the factors of 929
:1,929
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 929,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 929,1617 is 1.
Lets's calculate LCM of 171,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 25821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25821
Therefore, the GCF of Fractions 929/171,1617/151 is 1/25821
Least Common Multiple of 171,151 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 171,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,151) x common factors =1 x 1 = 1
LCM(171,151) = ( 171 × 151 ) / 1
LCM(171,151) = 25821 / 1
LCM(171,151) = 25821
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FAQs on GCF of Fractions of 929/171, 1617/151
1. What is the HCF of 929,1617?
The HCF of 929,1617 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 929/171, 1617/151?
Answer: GCF of Numerators as per given numbers 929/171, 1617/151 is
GCF of Numerators i.e. for 929,1617 is 1
LCM of denominators i.e. for 171,151 is 25821.
Thus, GCF of Fractions is 1/25821.Finally, GCF of Fractions for 929/171, 1617/151 is 1/25821.