GCF of 7811/930, 5315/5991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7811/930, 5315/5991 i.e 1/1857210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7811/930, 5315/5991.
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 7811/930,5315/5991?
Given fractions are 7811/930,5315/5991
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 7811/930,5315/5991, numerators are 7811,5315
Denominators are 930,5991
The GCF of 7811,5315 is 1 .
LCM of 930,5991 is 1857210.
The greatest common factor of 7811/930,5315/5991 = [GCF of 7811,5315]/[LCM of 930,5991]= 1/1857210
Therefore, the GCF of 7811/930,5315/5991 is 1/1857210.
To find the highest common factor of 7811,5315, we have to find the factors of both numbers and list the highest common factor.
The factors of 7811 are 1, 73, 107, 7811
The factors of 5315 are 1, 5, 1063, 5315
The HCF of 7811,5315 is 1.
Lets's calculate GCF of 7811,5315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7811,5315 By Matching Biggest Common Factor Method
Now, list down the factors of 7811
:1,73,107,7811
Now, list down the factors of 5315
:1,5,1063,5315
Greatest Common Factor
We found the factors 7811,5315 . The biggest common factor number is the GCF number.
So the greatest common factor 7811,5315 is 1.
Lets's calculate LCM of 930,5991
| 3 | 930, 5991 |
| 310, 1997 |
∴ So the LCM of the given numbers is 3 x 310 x 1997 = 1857210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1857210
Therefore, the GCF of Fractions 7811/930,5315/5991 is 1/1857210
Least Common Multiple of 930,5991 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 930,5991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,5991) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(930,5991) x common factors =3 x 1 = 3
LCM(930,5991) = ( 930 × 5991 ) / 3
LCM(930,5991) = 5571630 / 3
LCM(930,5991) = 1857210
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FAQs on GCF of Fractions of 7811/930, 5315/5991
1. What is the HCF of 7811,5315?
The HCF of 7811,5315 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 7811/930, 5315/5991?
Answer: GCF of Numerators as per given numbers 7811/930, 5315/5991 is
GCF of Numerators i.e. for 7811,5315 is 1
LCM of denominators i.e. for 930,5991 is 1857210.
Thus, GCF of Fractions is 1/1857210.Finally, GCF of Fractions for 7811/930, 5315/5991 is 1/1857210.