GCF of 2373/138, 7970/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2373/138, 7970/916 i.e 1/63204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2373/138, 7970/916.
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 2373/138,7970/916?
Given fractions are 2373/138,7970/916
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 2373/138,7970/916, numerators are 2373,7970
Denominators are 138,916
The GCF of 2373,7970 is 1 .
LCM of 138,916 is 63204.
The greatest common factor of 2373/138,7970/916 = [GCF of 2373,7970]/[LCM of 138,916]= 1/63204
Therefore, the GCF of 2373/138,7970/916 is 1/63204.
To find the highest common factor of 2373,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 2373,7970 is 1.
Lets's calculate GCF of 2373,7970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2373,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 2373
:1,3,7,21,113,339,791,2373
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 2373,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 2373,7970 is 1.
Lets's calculate LCM of 138,916
| 2 | 138, 916 |
| 69, 458 |
∴ So the LCM of the given numbers is 2 x 69 x 458 = 63204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63204
Therefore, the GCF of Fractions 2373/138,7970/916 is 1/63204
Least Common Multiple of 138,916 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 138,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,916) x common factors =2 x 1 = 2
LCM(138,916) = ( 138 × 916 ) / 2
LCM(138,916) = 126408 / 2
LCM(138,916) = 63204
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FAQs on GCF of Fractions of 2373/138, 7970/916
1. What is the HCF of 2373,7970?
The HCF of 2373,7970 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 2373/138, 7970/916?
Answer: GCF of Numerators as per given numbers 2373/138, 7970/916 is
GCF of Numerators i.e. for 2373,7970 is 1
LCM of denominators i.e. for 138,916 is 63204.
Thus, GCF of Fractions is 1/63204.Finally, GCF of Fractions for 2373/138, 7970/916 is 1/63204.