GCF of 6277/518, 9128/2526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6277/518, 9128/2526 i.e 1/654234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6277/518, 9128/2526.
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 6277/518,9128/2526?
Given fractions are 6277/518,9128/2526
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 6277/518,9128/2526, numerators are 6277,9128
Denominators are 518,2526
The GCF of 6277,9128 is 1 .
LCM of 518,2526 is 654234.
The greatest common factor of 6277/518,9128/2526 = [GCF of 6277,9128]/[LCM of 518,2526]= 1/654234
Therefore, the GCF of 6277/518,9128/2526 is 1/654234.
To find the highest common factor of 6277,9128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6277 are 1, 6277
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The HCF of 6277,9128 is 1.
Lets's calculate GCF of 6277,9128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6277,9128 By Matching Biggest Common Factor Method
Now, list down the factors of 6277
:1,6277
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Greatest Common Factor
We found the factors 6277,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 6277,9128 is 1.
Lets's calculate LCM of 518,2526
| 2 | 518, 2526 |
| 259, 1263 |
∴ So the LCM of the given numbers is 2 x 259 x 1263 = 654234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654234
Therefore, the GCF of Fractions 6277/518,9128/2526 is 1/654234
Least Common Multiple of 518,2526 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 518,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,2526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,2526) x common factors =2 x 1 = 2
LCM(518,2526) = ( 518 × 2526 ) / 2
LCM(518,2526) = 1308468 / 2
LCM(518,2526) = 654234
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FAQs on GCF of Fractions of 6277/518, 9128/2526
1. What is the HCF of 6277,9128?
The HCF of 6277,9128 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 6277/518, 9128/2526?
Answer: GCF of Numerators as per given numbers 6277/518, 9128/2526 is
GCF of Numerators i.e. for 6277,9128 is 1
LCM of denominators i.e. for 518,2526 is 654234.
Thus, GCF of Fractions is 1/654234.Finally, GCF of Fractions for 6277/518, 9128/2526 is 1/654234.