GCF of 5116/567, 1731/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5116/567, 1731/963 i.e 1/60669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5116/567, 1731/963.
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 5116/567,1731/963?
Given fractions are 5116/567,1731/963
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 5116/567,1731/963, numerators are 5116,1731
Denominators are 567,963
The GCF of 5116,1731 is 1 .
LCM of 567,963 is 60669.
The greatest common factor of 5116/567,1731/963 = [GCF of 5116,1731]/[LCM of 567,963]= 1/60669
Therefore, the GCF of 5116/567,1731/963 is 1/60669.
To find the highest common factor of 5116,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 5116 are 1, 2, 4, 1279, 2558, 5116
The factors of 1731 are 1, 3, 577, 1731
The HCF of 5116,1731 is 1.
Lets's calculate GCF of 5116,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5116,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 5116
:1,2,4,1279,2558,5116
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 5116,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,1731 is 1.
Lets's calculate LCM of 567,963
| 3 | 567, 963 |
| 3 | 189, 321 |
| 63, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 107 = 60669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60669
Therefore, the GCF of Fractions 5116/567,1731/963 is 1/60669
Least Common Multiple of 567,963 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 567,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,963) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(567,963) x common factors =9 x 1 = 9
LCM(567,963) = ( 567 × 963 ) / 9
LCM(567,963) = 546021 / 9
LCM(567,963) = 60669
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5116/567, 1731/963
1. What is the HCF of 5116,1731?
The HCF of 5116,1731 is 1
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 5116/567, 1731/963?
Answer: GCF of Numerators as per given numbers 5116/567, 1731/963 is
GCF of Numerators i.e. for 5116,1731 is 1
LCM of denominators i.e. for 567,963 is 60669.
Thus, GCF of Fractions is 1/60669.Finally, GCF of Fractions for 5116/567, 1731/963 is 1/60669.