GCF of 372/539, 2651/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 372/539, 2651/979 i.e 1/47971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/539, 2651/979.
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 372/539,2651/979?
Given fractions are 372/539,2651/979
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 372/539,2651/979, numerators are 372,2651
Denominators are 539,979
The GCF of 372,2651 is 1 .
LCM of 539,979 is 47971.
The greatest common factor of 372/539,2651/979 = [GCF of 372,2651]/[LCM of 539,979]= 1/47971
Therefore, the GCF of 372/539,2651/979 is 1/47971.
To find the highest common factor of 372,2651, we have to find the factors of both numbers and list the highest common factor.
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The factors of 2651 are 1, 11, 241, 2651
The HCF of 372,2651 is 1.
Lets's calculate GCF of 372,2651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 372,2651 By Matching Biggest Common Factor Method
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Now, list down the factors of 2651
:1,11,241,2651
Greatest Common Factor
We found the factors 372,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 372,2651 is 1.
Lets's calculate LCM of 539,979
| 11 | 539, 979 |
| 49, 89 |
∴ So the LCM of the given numbers is 11 x 49 x 89 = 47971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47971
Therefore, the GCF of Fractions 372/539,2651/979 is 1/47971
Least Common Multiple of 539,979 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 539,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,979) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,979) x common factors =11 x 1 = 11
LCM(539,979) = ( 539 × 979 ) / 11
LCM(539,979) = 527681 / 11
LCM(539,979) = 47971
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FAQs on GCF of Fractions of 372/539, 2651/979
1. What is the HCF of 372,2651?
The HCF of 372,2651 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 372/539, 2651/979?
Answer: GCF of Numerators as per given numbers 372/539, 2651/979 is
GCF of Numerators i.e. for 372,2651 is 1
LCM of denominators i.e. for 539,979 is 47971.
Thus, GCF of Fractions is 1/47971.Finally, GCF of Fractions for 372/539, 2651/979 is 1/47971.