How to Find GCF of 7937/760, 7577/1596?

GCF of 7937/760, 7577/1596

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7937/760, 7577/1596 i.e 1/15960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7937/760, 7577/1596.

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 7937/760,7577/1596?

Given fractions are 7937/760,7577/1596

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 7937/760,7577/1596, numerators are 7937,7577

Denominators are 760,1596

The GCF of 7937,7577 is 1 .

LCM of 760,1596 is 15960.

The greatest common factor of 7937/760,7577/1596 = [GCF of 7937,7577]/[LCM of 760,1596]= 1/15960

Therefore, the GCF of 7937/760,7577/1596 is 1/15960.

Greatest Common Factor of 7937,7577

To find the highest common factor of 7937,7577, we have to find the factors of both numbers and list the highest common factor.

The factors of 7937 are 1, 7937

The factors of 7577 are 1, 7577

The HCF of 7937,7577 is 1.

Lets's calculate GCF of 7937,7577

Greatest Common Factor (GCF) of 7937,7577 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7937,7577 By Matching Biggest Common Factor Method

Now, list down the factors of 7937

1,7937

Now, list down the factors of 7577

1,7577

Greatest Common Factor

We found the factors 7937,7577 . The biggest common factor number is the GCF number.
So the greatest common factor 7937,7577 is 1.

Lets's calculate LCM of 760,1596

Lowest Common Multiple of 760,1596 using Common Division

2	760, 1596
2	380, 798
19	190, 399
	10, 21

∴ So the LCM of the given numbers is 2 x 2 x 19 x 10 x 21 = 15960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15960

Therefore, the GCF of Fractions 7937/760,7577/1596 is 1/15960

Least Common Multiple of 760,1596 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 760,1596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1596) = 76

common factors(in case of two or more numbers have common factors) = 1

GCF(760,1596) x common factors =76 x 1 = 76

LCM(760,1596) = ( 760 × 1596 ) / 76

LCM(760,1596) = 1212960 / 76

LCM(760,1596) = 15960

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7937/760, 7577/1596

1. What is the HCF of 7937,7577?

The HCF of 7937,7577 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 7937/760, 7577/1596?

Answer: GCF of Numerators as per given numbers 7937/760, 7577/1596 is

GCF of Numerators i.e. for 7937,7577 is 1

LCM of denominators i.e. for 760,1596 is 15960.

Thus, GCF of Fractions is 1/15960.Finally, GCF of Fractions for 7937/760, 7577/1596 is 1/15960.