GCF of 137/92, 685/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 137/92, 685/921 i.e 137/84732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/92, 685/921.
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 137/92,685/921?
Given fractions are 137/92,685/921
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 137/92,685/921, numerators are 137,685
Denominators are 92,921
The GCF of 137,685 is 137 .
LCM of 92,921 is 84732.
The greatest common factor of 137/92,685/921 = [GCF of 137,685]/[LCM of 92,921]= 137/84732
Therefore, the GCF of 137/92,685/921 is 137/84732.
To find the highest common factor of 137,685, 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 685 are 1, 5, 137, 685
The HCF of 137,685 is 137.
Lets's calculate GCF of 137,685
| 137 | 137, 685 |
| 1, 5 |
∴ So the GCF of the given numbers is 137 = 137
Greatest Common Factor of 137,685 By Matching Biggest Common Factor Method
Now, list down the factors of 137
:1,137
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 137,685 . The biggest common factor number is the GCF number.
So the greatest common factor 137,685 is 137.
Lets's calculate LCM of 92,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 84732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/84732
Therefore, the GCF of Fractions 137/92,685/921 is 137/84732
Least Common Multiple of 92,921 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 92,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,921) x common factors =1 x 1 = 1
LCM(92,921) = ( 92 × 921 ) / 1
LCM(92,921) = 84732 / 1
LCM(92,921) = 84732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 137/92, 685/921
1. What is the HCF of 137,685?
The HCF of 137,685 is 137
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 137/92, 685/921?
Answer: GCF of Numerators as per given numbers 137/92, 685/921 is
GCF of Numerators i.e. for 137,685 is 137
LCM of denominators i.e. for 92,921 is 84732.
Thus, GCF of Fractions is 137/84732.Finally, GCF of Fractions for 137/92, 685/921 is 137/84732.