Greatest Common Factor of 763/13, 219/73, 643/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/13, 219/73, 643/783

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 763/13,219/73,643/783

Given fractions are 763/13,219/73,643/783

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 763,219,643

Greatest Common Factor of Numerators i.e. GCF of 763,219,643 is 1 .

LCM of Denominators means LCM of 13,73,783 as per the given fractions.

LCM of 13,73,783 is 743067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,219,643

GCF of Fractions 763/13,219/73,643/783 is 1/743067

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

Greatest Common Factor of 763,219,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,219,643 By Matching Biggest Common Factor Method

Factors of 763

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

1,7,109,763

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 763,219,643 . The biggest common factor number is the GCF number.
So the greatest common factor 763,219,643 is 1.

Lets's calculate LCM of 13,73,783

Given numbers has no common factors except 1. So, there LCM is their product i.e 743067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743067

Therefore, the GCF of Fractions 763/13,219/73,643/783 is 1/743067

Least Common Multiple of 13,73,783 with GCF Formula

Least Common Multiple of 13,73,783 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 13,73,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,73,783) = 1

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

GCF(13,73,783) x common factors =1 x 1 = 1

LCM(13,73,783) = ( 13 × 73 × 783 ) / 1

LCM(13,73,783) = 743067 / 1

LCM(13,73,783) = 743067


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 763/13, 219/73, 643/783

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 763/13, 219/73, 643/783?

Answer: GCF of Numerators as per given numbers 763/13, 219/73, 643/783 is

GCF of Numerators i.e. for 763,219,643 is 1

LCM of denominators i.e. for 13,73,783 is 743067.

Thus, GCF of Fractions is 1/743067.Finally, GCF of Fractions for 763/13, 219/73, 643/783 is 1/743067.