GCF of 137/538, 927/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 137/538, 927/116 i.e 1/31204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/538, 927/116.
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 137/538,927/116?
Given fractions are 137/538,927/116
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 137/538,927/116, numerators are 137,927
Denominators are 538,116
The GCF of 137,927 is 1 .
LCM of 538,116 is 31204.
The greatest common factor of 137/538,927/116 = [GCF of 137,927]/[LCM of 538,116]= 1/31204
Therefore, the GCF of 137/538,927/116 is 1/31204.
To find the highest common factor of 137,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 137 are 1, 137
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 137,927 is 1.
Lets's calculate GCF of 137,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 137,927 By Matching Biggest Common Factor Method
Now, list down the factors of 137
:1,137
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 137,927 . The biggest common factor number is the GCF number.
So the greatest common factor 137,927 is 1.
Lets's calculate LCM of 538,116
| 2 | 538, 116 |
| 269, 58 |
∴ So the LCM of the given numbers is 2 x 269 x 58 = 31204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31204
Therefore, the GCF of Fractions 137/538,927/116 is 1/31204
Least Common Multiple of 538,116 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 538,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,116) x common factors =2 x 1 = 2
LCM(538,116) = ( 538 × 116 ) / 2
LCM(538,116) = 62408 / 2
LCM(538,116) = 31204
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 137/538, 927/116
1. What is the HCF of 137,927?
The HCF of 137,927 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 137/538, 927/116?
Answer: GCF of Numerators as per given numbers 137/538, 927/116 is
GCF of Numerators i.e. for 137,927 is 1
LCM of denominators i.e. for 538,116 is 31204.
Thus, GCF of Fractions is 1/31204.Finally, GCF of Fractions for 137/538, 927/116 is 1/31204.