GCF of 2476/938, 7275/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2476/938, 7275/268 i.e 1/1876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2476/938, 7275/268.
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 2476/938,7275/268?
Given fractions are 2476/938,7275/268
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 2476/938,7275/268, numerators are 2476,7275
Denominators are 938,268
The GCF of 2476,7275 is 1 .
LCM of 938,268 is 1876.
The greatest common factor of 2476/938,7275/268 = [GCF of 2476,7275]/[LCM of 938,268]= 1/1876
Therefore, the GCF of 2476/938,7275/268 is 1/1876.
To find the highest common factor of 2476,7275, we have to find the factors of both numbers and list the highest common factor.
The factors of 2476 are 1, 2, 4, 619, 1238, 2476
The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
The HCF of 2476,7275 is 1.
Lets's calculate GCF of 2476,7275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2476,7275 By Matching Biggest Common Factor Method
Now, list down the factors of 2476
:1,2,4,619,1238,2476
Now, list down the factors of 7275
:1,3,5,15,25,75,97,291,485,1455,2425,7275
Greatest Common Factor
We found the factors 2476,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,7275 is 1.
Lets's calculate LCM of 938,268
| 2 | 938, 268 |
| 67 | 469, 134 |
| 7, 2 |
∴ So the LCM of the given numbers is 2 x 67 x 7 x 2 = 1876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1876
Therefore, the GCF of Fractions 2476/938,7275/268 is 1/1876
Least Common Multiple of 938,268 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 938,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,268) = 134
common factors(in case of two or more numbers have common factors) = 1
GCF(938,268) x common factors =134 x 1 = 134
LCM(938,268) = ( 938 × 268 ) / 134
LCM(938,268) = 251384 / 134
LCM(938,268) = 1876
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FAQs on GCF of Fractions of 2476/938, 7275/268
1. What is the HCF of 2476,7275?
The HCF of 2476,7275 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 2476/938, 7275/268?
Answer: GCF of Numerators as per given numbers 2476/938, 7275/268 is
GCF of Numerators i.e. for 2476,7275 is 1
LCM of denominators i.e. for 938,268 is 1876.
Thus, GCF of Fractions is 1/1876.Finally, GCF of Fractions for 2476/938, 7275/268 is 1/1876.