GCF of 5496/297, 8718/6528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5496/297, 8718/6528 i.e 6/646272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5496/297, 8718/6528.
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 5496/297,8718/6528?
Given fractions are 5496/297,8718/6528
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 5496/297,8718/6528, numerators are 5496,8718
Denominators are 297,6528
The GCF of 5496,8718 is 6 .
LCM of 297,6528 is 646272.
The greatest common factor of 5496/297,8718/6528 = [GCF of 5496,8718]/[LCM of 297,6528]= 6/646272
Therefore, the GCF of 5496/297,8718/6528 is 6/646272.
To find the highest common factor of 5496,8718, we have to find the factors of both numbers and list the highest common factor.
The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The HCF of 5496,8718 is 6.
Lets's calculate GCF of 5496,8718
| 2 | 5496, 8718 |
| 3 | 2748, 4359 |
| 916, 1453 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5496,8718 By Matching Biggest Common Factor Method
Now, list down the factors of 5496
:1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Greatest Common Factor
We found the factors 5496,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 5496,8718 is 6.
Lets's calculate LCM of 297,6528
| 3 | 297, 6528 |
| 99, 2176 |
∴ So the LCM of the given numbers is 3 x 99 x 2176 = 646272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/646272
Therefore, the GCF of Fractions 5496/297,8718/6528 is 6/646272
Least Common Multiple of 297,6528 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 297,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,6528) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(297,6528) x common factors =3 x 1 = 3
LCM(297,6528) = ( 297 × 6528 ) / 3
LCM(297,6528) = 1938816 / 3
LCM(297,6528) = 646272
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FAQs on GCF of Fractions of 5496/297, 8718/6528
1. What is the HCF of 5496,8718?
The HCF of 5496,8718 is 6
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 5496/297, 8718/6528?
Answer: GCF of Numerators as per given numbers 5496/297, 8718/6528 is
GCF of Numerators i.e. for 5496,8718 is 6
LCM of denominators i.e. for 297,6528 is 646272.
Thus, GCF of Fractions is 6/646272.Finally, GCF of Fractions for 5496/297, 8718/6528 is 6/646272.