GCF of 2951/695, 7437/655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2951/695, 7437/655 i.e 1/91045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2951/695, 7437/655.
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 2951/695,7437/655?
Given fractions are 2951/695,7437/655
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 2951/695,7437/655, numerators are 2951,7437
Denominators are 695,655
The GCF of 2951,7437 is 1 .
LCM of 695,655 is 91045.
The greatest common factor of 2951/695,7437/655 = [GCF of 2951,7437]/[LCM of 695,655]= 1/91045
Therefore, the GCF of 2951/695,7437/655 is 1/91045.
To find the highest common factor of 2951,7437, we have to find the factors of both numbers and list the highest common factor.
The factors of 2951 are 1, 13, 227, 2951
The factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437
The HCF of 2951,7437 is 1.
Lets's calculate GCF of 2951,7437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2951,7437 By Matching Biggest Common Factor Method
Now, list down the factors of 2951
:1,13,227,2951
Now, list down the factors of 7437
:1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 2951,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 2951,7437 is 1.
Lets's calculate LCM of 695,655
| 5 | 695, 655 |
| 139, 131 |
∴ So the LCM of the given numbers is 5 x 139 x 131 = 91045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91045
Therefore, the GCF of Fractions 2951/695,7437/655 is 1/91045
Least Common Multiple of 695,655 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 695,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,655) x common factors =5 x 1 = 5
LCM(695,655) = ( 695 × 655 ) / 5
LCM(695,655) = 455225 / 5
LCM(695,655) = 91045
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FAQs on GCF of Fractions of 2951/695, 7437/655
1. What is the HCF of 2951,7437?
The HCF of 2951,7437 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 2951/695, 7437/655?
Answer: GCF of Numerators as per given numbers 2951/695, 7437/655 is
GCF of Numerators i.e. for 2951,7437 is 1
LCM of denominators i.e. for 695,655 is 91045.
Thus, GCF of Fractions is 1/91045.Finally, GCF of Fractions for 2951/695, 7437/655 is 1/91045.