Greatest Common Factor of 125/757, 7720/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/757, 7720/784

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 125/757,7720/784

Given fractions are 125/757,7720/784

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 125,7720

Greatest Common Factor of Numerators i.e. GCF of 125,7720 is 5 .

LCM of Denominators means LCM of 757,784 as per the given fractions.

LCM of 757,784 is 593488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,7720

GCF of Fractions 125/757,7720/784 is 5/593488

5 125, 7720
25, 1544

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 125,7720 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,7720 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Greatest Common Factor

We found the factors 125,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 125,7720 is 5.

Lets's calculate LCM of 757,784

Given numbers has no common factors except 1. So, there LCM is their product i.e 593488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/593488

Therefore, the GCF of Fractions 125/757,7720/784 is 5/593488

Least Common Multiple of 757,784 with GCF Formula

Least Common Multiple of 757,784 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 757,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,784) = 1

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

GCF(757,784) x common factors =1 x 1 = 1

LCM(757,784) = ( 757 × 784 ) / 1

LCM(757,784) = 593488 / 1

LCM(757,784) = 593488


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 125/757, 7720/784

1. 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.

2. What is the GCF of Fractions for 125/757, 7720/784?

Answer: GCF of Numerators as per given numbers 125/757, 7720/784 is

GCF of Numerators i.e. for 125,7720 is 5

LCM of denominators i.e. for 757,784 is 593488.

Thus, GCF of Fractions is 5/593488.Finally, GCF of Fractions for 125/757, 7720/784 is 5/593488.