GCF of 8654/539, 6874/1276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8654/539, 6874/1276 i.e 2/62524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8654/539, 6874/1276.
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 8654/539,6874/1276?
Given fractions are 8654/539,6874/1276
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 8654/539,6874/1276, numerators are 8654,6874
Denominators are 539,1276
The GCF of 8654,6874 is 2 .
LCM of 539,1276 is 62524.
The greatest common factor of 8654/539,6874/1276 = [GCF of 8654,6874]/[LCM of 539,1276]= 2/62524
Therefore, the GCF of 8654/539,6874/1276 is 2/62524.
To find the highest common factor of 8654,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 8654 are 1, 2, 4327, 8654
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 8654,6874 is 2.
Lets's calculate GCF of 8654,6874
| 2 | 8654, 6874 |
| 4327, 3437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8654,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 8654
:1,2,4327,8654
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 8654,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 8654,6874 is 2.
Lets's calculate LCM of 539,1276
| 11 | 539, 1276 |
| 49, 116 |
∴ So the LCM of the given numbers is 11 x 49 x 116 = 62524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62524
Therefore, the GCF of Fractions 8654/539,6874/1276 is 2/62524
Least Common Multiple of 539,1276 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 539,1276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,1276) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,1276) x common factors =11 x 1 = 11
LCM(539,1276) = ( 539 × 1276 ) / 11
LCM(539,1276) = 687764 / 11
LCM(539,1276) = 62524
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FAQs on GCF of Fractions of 8654/539, 6874/1276
1. What is the HCF of 8654,6874?
The HCF of 8654,6874 is 2
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 8654/539, 6874/1276?
Answer: GCF of Numerators as per given numbers 8654/539, 6874/1276 is
GCF of Numerators i.e. for 8654,6874 is 2
LCM of denominators i.e. for 539,1276 is 62524.
Thus, GCF of Fractions is 2/62524.Finally, GCF of Fractions for 8654/539, 6874/1276 is 2/62524.