GCF of 8139/514, 6261/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8139/514, 6261/276 i.e 3/70932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8139/514, 6261/276.
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 8139/514,6261/276?
Given fractions are 8139/514,6261/276
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 8139/514,6261/276, numerators are 8139,6261
Denominators are 514,276
The GCF of 8139,6261 is 3 .
LCM of 514,276 is 70932.
The greatest common factor of 8139/514,6261/276 = [GCF of 8139,6261]/[LCM of 514,276]= 3/70932
Therefore, the GCF of 8139/514,6261/276 is 3/70932.
To find the highest common factor of 8139,6261, we have to find the factors of both numbers and list the highest common factor.
The factors of 8139 are 1, 3, 2713, 8139
The factors of 6261 are 1, 3, 2087, 6261
The HCF of 8139,6261 is 3.
Lets's calculate GCF of 8139,6261
| 3 | 8139, 6261 |
| 2713, 2087 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8139,6261 By Matching Biggest Common Factor Method
Now, list down the factors of 8139
:1,3,2713,8139
Now, list down the factors of 6261
:1,3,2087,6261
Greatest Common Factor
We found the factors 8139,6261 . The biggest common factor number is the GCF number.
So the greatest common factor 8139,6261 is 3.
Lets's calculate LCM of 514,276
| 2 | 514, 276 |
| 257, 138 |
∴ So the LCM of the given numbers is 2 x 257 x 138 = 70932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70932
Therefore, the GCF of Fractions 8139/514,6261/276 is 3/70932
Least Common Multiple of 514,276 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 514,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,276) x common factors =2 x 1 = 2
LCM(514,276) = ( 514 × 276 ) / 2
LCM(514,276) = 141864 / 2
LCM(514,276) = 70932
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FAQs on GCF of Fractions of 8139/514, 6261/276
1. What is the HCF of 8139,6261?
The HCF of 8139,6261 is 3
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 8139/514, 6261/276?
Answer: GCF of Numerators as per given numbers 8139/514, 6261/276 is
GCF of Numerators i.e. for 8139,6261 is 3
LCM of denominators i.e. for 514,276 is 70932.
Thus, GCF of Fractions is 3/70932.Finally, GCF of Fractions for 8139/514, 6261/276 is 3/70932.