GCF of 7715/571, 6978/1132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7715/571, 6978/1132 i.e 1/646372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7715/571, 6978/1132.
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 7715/571,6978/1132?
Given fractions are 7715/571,6978/1132
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 7715/571,6978/1132, numerators are 7715,6978
Denominators are 571,1132
The GCF of 7715,6978 is 1 .
LCM of 571,1132 is 646372.
The greatest common factor of 7715/571,6978/1132 = [GCF of 7715,6978]/[LCM of 571,1132]= 1/646372
Therefore, the GCF of 7715/571,6978/1132 is 1/646372.
To find the highest common factor of 7715,6978, we have to find the factors of both numbers and list the highest common factor.
The factors of 7715 are 1, 5, 1543, 7715
The factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978
The HCF of 7715,6978 is 1.
Lets's calculate GCF of 7715,6978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7715,6978 By Matching Biggest Common Factor Method
Now, list down the factors of 7715
:1,5,1543,7715
Now, list down the factors of 6978
:1,2,3,6,1163,2326,3489,6978
Greatest Common Factor
We found the factors 7715,6978 . The biggest common factor number is the GCF number.
So the greatest common factor 7715,6978 is 1.
Lets's calculate LCM of 571,1132
Given numbers has no common factors except 1. So, there LCM is their product i.e 646372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646372
Therefore, the GCF of Fractions 7715/571,6978/1132 is 1/646372
Least Common Multiple of 571,1132 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 571,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,1132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,1132) x common factors =1 x 1 = 1
LCM(571,1132) = ( 571 × 1132 ) / 1
LCM(571,1132) = 646372 / 1
LCM(571,1132) = 646372
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FAQs on GCF of Fractions of 7715/571, 6978/1132
1. What is the HCF of 7715,6978?
The HCF of 7715,6978 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 7715/571, 6978/1132?
Answer: GCF of Numerators as per given numbers 7715/571, 6978/1132 is
GCF of Numerators i.e. for 7715,6978 is 1
LCM of denominators i.e. for 571,1132 is 646372.
Thus, GCF of Fractions is 1/646372.Finally, GCF of Fractions for 7715/571, 6978/1132 is 1/646372.