GCF of 7016/726, 2724/8120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7016/726, 2724/8120 i.e 4/2947560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7016/726, 2724/8120.
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 7016/726,2724/8120?
Given fractions are 7016/726,2724/8120
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 7016/726,2724/8120, numerators are 7016,2724
Denominators are 726,8120
The GCF of 7016,2724 is 4 .
LCM of 726,8120 is 2947560.
The greatest common factor of 7016/726,2724/8120 = [GCF of 7016,2724]/[LCM of 726,8120]= 4/2947560
Therefore, the GCF of 7016/726,2724/8120 is 4/2947560.
To find the highest common factor of 7016,2724, we have to find the factors of both numbers and list the highest common factor.
The factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016
The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724
The HCF of 7016,2724 is 4.
Lets's calculate GCF of 7016,2724
| 2 | 7016, 2724 |
| 2 | 3508, 1362 |
| 1754, 681 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7016,2724 By Matching Biggest Common Factor Method
Now, list down the factors of 7016
:1,2,4,8,877,1754,3508,7016
Now, list down the factors of 2724
:1,2,3,4,6,12,227,454,681,908,1362,2724
Greatest Common Factor
We found the factors 7016,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 7016,2724 is 4.
Lets's calculate LCM of 726,8120
| 2 | 726, 8120 |
| 363, 4060 |
∴ So the LCM of the given numbers is 2 x 363 x 4060 = 2947560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2947560
Therefore, the GCF of Fractions 7016/726,2724/8120 is 4/2947560
Least Common Multiple of 726,8120 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 726,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,8120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,8120) x common factors =2 x 1 = 2
LCM(726,8120) = ( 726 × 8120 ) / 2
LCM(726,8120) = 5895120 / 2
LCM(726,8120) = 2947560
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FAQs on GCF of Fractions of 7016/726, 2724/8120
1. What is the HCF of 7016,2724?
The HCF of 7016,2724 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 7016/726, 2724/8120?
Answer: GCF of Numerators as per given numbers 7016/726, 2724/8120 is
GCF of Numerators i.e. for 7016,2724 is 4
LCM of denominators i.e. for 726,8120 is 2947560.
Thus, GCF of Fractions is 4/2947560.Finally, GCF of Fractions for 7016/726, 2724/8120 is 4/2947560.