GCF of 5642/514, 6981/9577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5642/514, 6981/9577 i.e 13/4922578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5642/514, 6981/9577.
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 5642/514,6981/9577?
Given fractions are 5642/514,6981/9577
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 5642/514,6981/9577, numerators are 5642,6981
Denominators are 514,9577
The GCF of 5642,6981 is 13 .
LCM of 514,9577 is 4922578.
The greatest common factor of 5642/514,6981/9577 = [GCF of 5642,6981]/[LCM of 514,9577]= 13/4922578
Therefore, the GCF of 5642/514,6981/9577 is 13/4922578.
To find the highest common factor of 5642,6981, we have to find the factors of both numbers and list the highest common factor.
The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The HCF of 5642,6981 is 13.
Lets's calculate GCF of 5642,6981
| 13 | 5642, 6981 |
| 434, 537 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5642,6981 By Matching Biggest Common Factor Method
Now, list down the factors of 5642
:1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Greatest Common Factor
We found the factors 5642,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 5642,6981 is 13.
Lets's calculate LCM of 514,9577
Given numbers has no common factors except 1. So, there LCM is their product i.e 4922578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4922578
Therefore, the GCF of Fractions 5642/514,6981/9577 is 13/4922578
Least Common Multiple of 514,9577 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 514,9577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9577) x common factors =1 x 1 = 1
LCM(514,9577) = ( 514 × 9577 ) / 1
LCM(514,9577) = 4922578 / 1
LCM(514,9577) = 4922578
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FAQs on GCF of Fractions of 5642/514, 6981/9577
1. What is the HCF of 5642,6981?
The HCF of 5642,6981 is 13
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 5642/514, 6981/9577?
Answer: GCF of Numerators as per given numbers 5642/514, 6981/9577 is
GCF of Numerators i.e. for 5642,6981 is 13
LCM of denominators i.e. for 514,9577 is 4922578.
Thus, GCF of Fractions is 13/4922578.Finally, GCF of Fractions for 5642/514, 6981/9577 is 13/4922578.