Greatest Common Factor of 432/62, 769/68, 763/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/62, 769/68, 763/211

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 432/62,769/68,763/211

Given fractions are 432/62,769/68,763/211

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 432,769,763

Greatest Common Factor of Numerators i.e. GCF of 432,769,763 is 1 .

LCM of Denominators means LCM of 62,68,211 as per the given fractions.

LCM of 62,68,211 is 444788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,769,763

GCF of Fractions 432/62,769/68,763/211 is 1/444788

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

Greatest Common Factor of 432,769,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,769,763 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 769

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

1,769

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 432,769,763 . The biggest common factor number is the GCF number.
So the greatest common factor 432,769,763 is 1.

Lets's calculate LCM of 62,68,211

2 62, 68, 211
31, 34, 211

∴ So the LCM of the given numbers is 2 x 31 x 34 x 211 = 444788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444788

Therefore, the GCF of Fractions 432/62,769/68,763/211 is 1/444788

Least Common Multiple of 62,68,211 with GCF Formula

Least Common Multiple of 62,68,211 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 62,68,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,68,211) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,68,211) x common factors =1 x 2 = 2

LCM(62,68,211) = ( 62 × 68 × 211 ) / 2

LCM(62,68,211) = 889576 / 2

LCM(62,68,211) = 444788


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 432/62, 769/68, 763/211

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 432/62, 769/68, 763/211?

Answer: GCF of Numerators as per given numbers 432/62, 769/68, 763/211 is

GCF of Numerators i.e. for 432,769,763 is 1

LCM of denominators i.e. for 62,68,211 is 444788.

Thus, GCF of Fractions is 1/444788.Finally, GCF of Fractions for 432/62, 769/68, 763/211 is 1/444788.