GCF of 7517/138, 2546/1275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7517/138, 2546/1275 i.e 1/58650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7517/138, 2546/1275.
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 7517/138,2546/1275?
Given fractions are 7517/138,2546/1275
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 7517/138,2546/1275, numerators are 7517,2546
Denominators are 138,1275
The GCF of 7517,2546 is 1 .
LCM of 138,1275 is 58650.
The greatest common factor of 7517/138,2546/1275 = [GCF of 7517,2546]/[LCM of 138,1275]= 1/58650
Therefore, the GCF of 7517/138,2546/1275 is 1/58650.
To find the highest common factor of 7517,2546, we have to find the factors of both numbers and list the highest common factor.
The factors of 7517 are 1, 7517
The factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546
The HCF of 7517,2546 is 1.
Lets's calculate GCF of 7517,2546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7517,2546 By Matching Biggest Common Factor Method
Now, list down the factors of 7517
:1,7517
Now, list down the factors of 2546
:1,2,19,38,67,134,1273,2546
Greatest Common Factor
We found the factors 7517,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 7517,2546 is 1.
Lets's calculate LCM of 138,1275
| 3 | 138, 1275 |
| 46, 425 |
∴ So the LCM of the given numbers is 3 x 46 x 425 = 58650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58650
Therefore, the GCF of Fractions 7517/138,2546/1275 is 1/58650
Least Common Multiple of 138,1275 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 138,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,1275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,1275) x common factors =3 x 1 = 3
LCM(138,1275) = ( 138 × 1275 ) / 3
LCM(138,1275) = 175950 / 3
LCM(138,1275) = 58650
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FAQs on GCF of Fractions of 7517/138, 2546/1275
1. What is the HCF of 7517,2546?
The HCF of 7517,2546 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 7517/138, 2546/1275?
Answer: GCF of Numerators as per given numbers 7517/138, 2546/1275 is
GCF of Numerators i.e. for 7517,2546 is 1
LCM of denominators i.e. for 138,1275 is 58650.
Thus, GCF of Fractions is 1/58650.Finally, GCF of Fractions for 7517/138, 2546/1275 is 1/58650.