Greatest Common Factor of 769/258, 230/896, 531/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 769/258, 230/896, 531/508

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 769/258,230/896,531/508

Given fractions are 769/258,230/896,531/508

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 769,230,531

Greatest Common Factor of Numerators i.e. GCF of 769,230,531 is 1 .

LCM of Denominators means LCM of 258,896,508 as per the given fractions.

LCM of 258,896,508 is 14679168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 769,230,531

GCF of Fractions 769/258,230/896,531/508 is 1/14679168

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

Greatest Common Factor of 769,230,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,230,531 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 769,230,531 . The biggest common factor number is the GCF number.
So the greatest common factor 769,230,531 is 1.

Lets's calculate LCM of 258,896,508

2 258, 896, 508
2 129, 448, 254
129, 224, 127

∴ So the LCM of the given numbers is 2 x 2 x 129 x 224 x 127 = 14679168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14679168

Therefore, the GCF of Fractions 769/258,230/896,531/508 is 1/14679168

Least Common Multiple of 258,896,508 with GCF Formula

Least Common Multiple of 258,896,508 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 258,896,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,896,508) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(258,896,508) x common factors =2 x 4 = 8

LCM(258,896,508) = ( 258 × 896 × 508 ) / 8

LCM(258,896,508) = 117433344 / 8

LCM(258,896,508) = 14679168


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 769/258, 230/896, 531/508

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 769/258, 230/896, 531/508?

Answer: GCF of Numerators as per given numbers 769/258, 230/896, 531/508 is

GCF of Numerators i.e. for 769,230,531 is 1

LCM of denominators i.e. for 258,896,508 is 14679168.

Thus, GCF of Fractions is 1/14679168.Finally, GCF of Fractions for 769/258, 230/896, 531/508 is 1/14679168.