Greatest Common Factor of 756/25, 723/38, 928/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/25, 723/38, 928/261

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 756/25,723/38,928/261

Given fractions are 756/25,723/38,928/261

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 756,723,928

Greatest Common Factor of Numerators i.e. GCF of 756,723,928 is 1 .

LCM of Denominators means LCM of 25,38,261 as per the given fractions.

LCM of 25,38,261 is 247950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,723,928

GCF of Fractions 756/25,723/38,928/261 is 1/247950

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

Greatest Common Factor of 756,723,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,723,928 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 756,723,928 . The biggest common factor number is the GCF number.
So the greatest common factor 756,723,928 is 1.

Lets's calculate LCM of 25,38,261

Given numbers has no common factors except 1. So, there LCM is their product i.e 247950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247950

Therefore, the GCF of Fractions 756/25,723/38,928/261 is 1/247950

Least Common Multiple of 25,38,261 with GCF Formula

Least Common Multiple of 25,38,261 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 25,38,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,38,261) = 1

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

GCF(25,38,261) x common factors =1 x 1 = 1

LCM(25,38,261) = ( 25 × 38 × 261 ) / 1

LCM(25,38,261) = 247950 / 1

LCM(25,38,261) = 247950


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 756/25, 723/38, 928/261

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 756/25, 723/38, 928/261?

Answer: GCF of Numerators as per given numbers 756/25, 723/38, 928/261 is

GCF of Numerators i.e. for 756,723,928 is 1

LCM of denominators i.e. for 25,38,261 is 247950.

Thus, GCF of Fractions is 1/247950.Finally, GCF of Fractions for 756/25, 723/38, 928/261 is 1/247950.