GCF of 6325/612, 9476/2538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6325/612, 9476/2538 i.e 23/86292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6325/612, 9476/2538.
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 6325/612,9476/2538?
Given fractions are 6325/612,9476/2538
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 6325/612,9476/2538, numerators are 6325,9476
Denominators are 612,2538
The GCF of 6325,9476 is 23 .
LCM of 612,2538 is 86292.
The greatest common factor of 6325/612,9476/2538 = [GCF of 6325,9476]/[LCM of 612,2538]= 23/86292
Therefore, the GCF of 6325/612,9476/2538 is 23/86292.
To find the highest common factor of 6325,9476, we have to find the factors of both numbers and list the highest common factor.
The factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325
The factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476
The HCF of 6325,9476 is 23.
Lets's calculate GCF of 6325,9476
| 23 | 6325, 9476 |
| 275, 412 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6325,9476 By Matching Biggest Common Factor Method
Now, list down the factors of 6325
:1,5,11,23,25,55,115,253,275,575,1265,6325
Now, list down the factors of 9476
:1,2,4,23,46,92,103,206,412,2369,4738,9476
Greatest Common Factor
We found the factors 6325,9476 . The biggest common factor number is the GCF number.
So the greatest common factor 6325,9476 is 23.
Lets's calculate LCM of 612,2538
| 2 | 612, 2538 |
| 3 | 306, 1269 |
| 3 | 102, 423 |
| 34, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 141 = 86292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/86292
Therefore, the GCF of Fractions 6325/612,9476/2538 is 23/86292
Least Common Multiple of 612,2538 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 612,2538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,2538) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(612,2538) x common factors =18 x 1 = 18
LCM(612,2538) = ( 612 × 2538 ) / 18
LCM(612,2538) = 1553256 / 18
LCM(612,2538) = 86292
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FAQs on GCF of Fractions of 6325/612, 9476/2538
1. What is the HCF of 6325,9476?
The HCF of 6325,9476 is 23
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 6325/612, 9476/2538?
Answer: GCF of Numerators as per given numbers 6325/612, 9476/2538 is
GCF of Numerators i.e. for 6325,9476 is 23
LCM of denominators i.e. for 612,2538 is 86292.
Thus, GCF of Fractions is 23/86292.Finally, GCF of Fractions for 6325/612, 9476/2538 is 23/86292.