Greatest Common Factor of 764/25, 762/99, 431/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/25, 762/99, 431/783

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 764/25,762/99,431/783

Given fractions are 764/25,762/99,431/783

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 764,762,431

Greatest Common Factor of Numerators i.e. GCF of 764,762,431 is 1 .

LCM of Denominators means LCM of 25,99,783 as per the given fractions.

LCM of 25,99,783 is 215325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,762,431

GCF of Fractions 764/25,762/99,431/783 is 1/215325

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

Greatest Common Factor of 764,762,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,762,431 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 764,762,431 . The biggest common factor number is the GCF number.
So the greatest common factor 764,762,431 is 1.

Lets's calculate LCM of 25,99,783

3 25, 99, 783
3 25, 33, 261
25, 11, 87

∴ So the LCM of the given numbers is 3 x 3 x 25 x 11 x 87 = 215325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215325

Therefore, the GCF of Fractions 764/25,762/99,431/783 is 1/215325

Least Common Multiple of 25,99,783 with GCF Formula

Least Common Multiple of 25,99,783 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 25,99,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,99,783) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(25,99,783) x common factors =1 x 9 = 9

LCM(25,99,783) = ( 25 × 99 × 783 ) / 9

LCM(25,99,783) = 1937925 / 9

LCM(25,99,783) = 215325


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 764/25, 762/99, 431/783

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 764/25, 762/99, 431/783?

Answer: GCF of Numerators as per given numbers 764/25, 762/99, 431/783 is

GCF of Numerators i.e. for 764,762,431 is 1

LCM of denominators i.e. for 25,99,783 is 215325.

Thus, GCF of Fractions is 1/215325.Finally, GCF of Fractions for 764/25, 762/99, 431/783 is 1/215325.