GCF of 5394/781, 3916/2556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5394/781, 3916/2556 i.e 2/28116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5394/781, 3916/2556.
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 5394/781,3916/2556?
Given fractions are 5394/781,3916/2556
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 5394/781,3916/2556, numerators are 5394,3916
Denominators are 781,2556
The GCF of 5394,3916 is 2 .
LCM of 781,2556 is 28116.
The greatest common factor of 5394/781,3916/2556 = [GCF of 5394,3916]/[LCM of 781,2556]= 2/28116
Therefore, the GCF of 5394/781,3916/2556 is 2/28116.
To find the highest common factor of 5394,3916, we have to find the factors of both numbers and list the highest common factor.
The factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394
The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
The HCF of 5394,3916 is 2.
Lets's calculate GCF of 5394,3916
| 2 | 5394, 3916 |
| 2697, 1958 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5394,3916 By Matching Biggest Common Factor Method
Now, list down the factors of 5394
:1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394
Now, list down the factors of 3916
:1,2,4,11,22,44,89,178,356,979,1958,3916
Greatest Common Factor
We found the factors 5394,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 5394,3916 is 2.
Lets's calculate LCM of 781,2556
| 71 | 781, 2556 |
| 11, 36 |
∴ So the LCM of the given numbers is 71 x 11 x 36 = 28116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28116
Therefore, the GCF of Fractions 5394/781,3916/2556 is 2/28116
Least Common Multiple of 781,2556 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 781,2556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,2556) = 71
common factors(in case of two or more numbers have common factors) = 1
GCF(781,2556) x common factors =71 x 1 = 71
LCM(781,2556) = ( 781 × 2556 ) / 71
LCM(781,2556) = 1996236 / 71
LCM(781,2556) = 28116
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FAQs on GCF of Fractions of 5394/781, 3916/2556
1. What is the HCF of 5394,3916?
The HCF of 5394,3916 is 2
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 5394/781, 3916/2556?
Answer: GCF of Numerators as per given numbers 5394/781, 3916/2556 is
GCF of Numerators i.e. for 5394,3916 is 2
LCM of denominators i.e. for 781,2556 is 28116.
Thus, GCF of Fractions is 2/28116.Finally, GCF of Fractions for 5394/781, 3916/2556 is 2/28116.