GCF of 2516/720, 8544/7635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2516/720, 8544/7635 i.e 4/366480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2516/720, 8544/7635.
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 2516/720,8544/7635?
Given fractions are 2516/720,8544/7635
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 2516/720,8544/7635, numerators are 2516,8544
Denominators are 720,7635
The GCF of 2516,8544 is 4 .
LCM of 720,7635 is 366480.
The greatest common factor of 2516/720,8544/7635 = [GCF of 2516,8544]/[LCM of 720,7635]= 4/366480
Therefore, the GCF of 2516/720,8544/7635 is 4/366480.
To find the highest common factor of 2516,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 2516,8544 is 4.
Lets's calculate GCF of 2516,8544
| 2 | 2516, 8544 |
| 2 | 1258, 4272 |
| 629, 2136 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2516,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 2516
:1,2,4,17,34,37,68,74,148,629,1258,2516
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 2516,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 2516,8544 is 4.
Lets's calculate LCM of 720,7635
| 3 | 720, 7635 |
| 5 | 240, 2545 |
| 48, 509 |
∴ So the LCM of the given numbers is 3 x 5 x 48 x 509 = 366480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/366480
Therefore, the GCF of Fractions 2516/720,8544/7635 is 4/366480
Least Common Multiple of 720,7635 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 720,7635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,7635) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(720,7635) x common factors =15 x 1 = 15
LCM(720,7635) = ( 720 × 7635 ) / 15
LCM(720,7635) = 5497200 / 15
LCM(720,7635) = 366480
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FAQs on GCF of Fractions of 2516/720, 8544/7635
1. What is the HCF of 2516,8544?
The HCF of 2516,8544 is 4
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 2516/720, 8544/7635?
Answer: GCF of Numerators as per given numbers 2516/720, 8544/7635 is
GCF of Numerators i.e. for 2516,8544 is 4
LCM of denominators i.e. for 720,7635 is 366480.
Thus, GCF of Fractions is 4/366480.Finally, GCF of Fractions for 2516/720, 8544/7635 is 4/366480.