GCF of 137/968, 159/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 137/968, 159/649 i.e 1/57112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/968, 159/649.
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 137/968,159/649?
Given fractions are 137/968,159/649
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 137/968,159/649, numerators are 137,159
Denominators are 968,649
The GCF of 137,159 is 1 .
LCM of 968,649 is 57112.
The greatest common factor of 137/968,159/649 = [GCF of 137,159]/[LCM of 968,649]= 1/57112
Therefore, the GCF of 137/968,159/649 is 1/57112.
To find the highest common factor of 137,159, 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 159 are 1, 3, 53, 159
The HCF of 137,159 is 1.
Lets's calculate GCF of 137,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 137,159 By Matching Biggest Common Factor Method
Now, list down the factors of 137
:1,137
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 137,159 . The biggest common factor number is the GCF number.
So the greatest common factor 137,159 is 1.
Lets's calculate LCM of 968,649
| 11 | 968, 649 |
| 88, 59 |
∴ So the LCM of the given numbers is 11 x 88 x 59 = 57112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57112
Therefore, the GCF of Fractions 137/968,159/649 is 1/57112
Least Common Multiple of 968,649 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 968,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,649) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(968,649) x common factors =11 x 1 = 11
LCM(968,649) = ( 968 × 649 ) / 11
LCM(968,649) = 628232 / 11
LCM(968,649) = 57112
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 137/968, 159/649
1. What is the HCF of 137,159?
The HCF of 137,159 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 137/968, 159/649?
Answer: GCF of Numerators as per given numbers 137/968, 159/649 is
GCF of Numerators i.e. for 137,159 is 1
LCM of denominators i.e. for 968,649 is 57112.
Thus, GCF of Fractions is 1/57112.Finally, GCF of Fractions for 137/968, 159/649 is 1/57112.