GCF of 91/187, 52/358, 377/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/187, 52/358, 377/168 i.e 13/5623464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/187, 52/358, 377/168.
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 91/187,52/358,377/168?
Given fractions are 91/187,52/358,377/168
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 91/187,52/358,377/168, numerators are 91,52,377
Denominators are 187,358,168
The GCF of 91,52,377 is 13 .
LCM of 187,358,168 is 5623464.
The greatest common factor of 91/187,52/358,377/168 = [GCF of 91,52,377]/[LCM of 187,358,168]= 13/5623464
Therefore, the GCF of 91/187,52/358,377/168 is 13/5623464.
To find the highest common factor of 91,52,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 377 are 1, 13, 29, 377
The HCF of 91,52,377 is 13.
Lets's calculate GCF of 91,52,377
| 13 | 91, 52, 377 |
| 7, 4, 29 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 91,52,377 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 91,52,377 . The biggest common factor number is the GCF number.
So the greatest common factor 91,52,377 is 13.
Lets's calculate LCM of 187,358,168
| 2 | 187, 358, 168 |
| 187, 179, 84 |
∴ So the LCM of the given numbers is 2 x 187 x 179 x 84 = 5623464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5623464
Therefore, the GCF of Fractions 91/187,52/358,377/168 is 13/5623464
Least Common Multiple of 187,358,168 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 187,358,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,358,168) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(187,358,168) x common factors =1 x 2 = 2
LCM(187,358,168) = ( 187 × 358 × 168 ) / 2
LCM(187,358,168) = 11246928 / 2
LCM(187,358,168) = 5623464
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FAQs on GCF of Fractions of 91/187, 52/358, 377/168
1. What is the HCF of 91,52,377?
The HCF of 91,52,377 is 13
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 91/187, 52/358, 377/168?
Answer: GCF of Numerators as per given numbers 91/187, 52/358, 377/168 is
GCF of Numerators i.e. for 91,52,377 is 13
LCM of denominators i.e. for 187,358,168 is 5623464.
Thus, GCF of Fractions is 13/5623464.Finally, GCF of Fractions for 91/187, 52/358, 377/168 is 13/5623464.