GCF of 6151/710, 7912/2670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6151/710, 7912/2670 i.e 1/189570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6151/710, 7912/2670.
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 6151/710,7912/2670?
Given fractions are 6151/710,7912/2670
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 6151/710,7912/2670, numerators are 6151,7912
Denominators are 710,2670
The GCF of 6151,7912 is 1 .
LCM of 710,2670 is 189570.
The greatest common factor of 6151/710,7912/2670 = [GCF of 6151,7912]/[LCM of 710,2670]= 1/189570
Therefore, the GCF of 6151/710,7912/2670 is 1/189570.
To find the highest common factor of 6151,7912, we have to find the factors of both numbers and list the highest common factor.
The factors of 6151 are 1, 6151
The factors of 7912 are 1, 2, 4, 8, 23, 43, 46, 86, 92, 172, 184, 344, 989, 1978, 3956, 7912
The HCF of 6151,7912 is 1.
Lets's calculate GCF of 6151,7912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6151,7912 By Matching Biggest Common Factor Method
Now, list down the factors of 6151
:1,6151
Now, list down the factors of 7912
:1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Greatest Common Factor
We found the factors 6151,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 6151,7912 is 1.
Lets's calculate LCM of 710,2670
| 2 | 710, 2670 |
| 5 | 355, 1335 |
| 71, 267 |
∴ So the LCM of the given numbers is 2 x 5 x 71 x 267 = 189570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189570
Therefore, the GCF of Fractions 6151/710,7912/2670 is 1/189570
Least Common Multiple of 710,2670 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 710,2670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,2670) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(710,2670) x common factors =10 x 1 = 10
LCM(710,2670) = ( 710 × 2670 ) / 10
LCM(710,2670) = 1895700 / 10
LCM(710,2670) = 189570
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FAQs on GCF of Fractions of 6151/710, 7912/2670
1. What is the HCF of 6151,7912?
The HCF of 6151,7912 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 6151/710, 7912/2670?
Answer: GCF of Numerators as per given numbers 6151/710, 7912/2670 is
GCF of Numerators i.e. for 6151,7912 is 1
LCM of denominators i.e. for 710,2670 is 189570.
Thus, GCF of Fractions is 1/189570.Finally, GCF of Fractions for 6151/710, 7912/2670 is 1/189570.