Greatest Common Factor of 949/533, 497/789, 653/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/533, 497/789, 653/744

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 949/533,497/789,653/744

Given fractions are 949/533,497/789,653/744

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 949,497,653

Greatest Common Factor of Numerators i.e. GCF of 949,497,653 is 1 .

LCM of Denominators means LCM of 533,789,744 as per the given fractions.

LCM of 533,789,744 is 104293176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,497,653

GCF of Fractions 949/533,497/789,653/744 is 1/104293176

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

Greatest Common Factor of 949,497,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,497,653 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 949,497,653 . The biggest common factor number is the GCF number.
So the greatest common factor 949,497,653 is 1.

Lets's calculate LCM of 533,789,744

3 533, 789, 744
533, 263, 248

∴ So the LCM of the given numbers is 3 x 533 x 263 x 248 = 104293176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104293176

Therefore, the GCF of Fractions 949/533,497/789,653/744 is 1/104293176

Least Common Multiple of 533,789,744 with GCF Formula

Least Common Multiple of 533,789,744 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 533,789,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,789,744) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(533,789,744) x common factors =1 x 3 = 3

LCM(533,789,744) = ( 533 × 789 × 744 ) / 3

LCM(533,789,744) = 312879528 / 3

LCM(533,789,744) = 104293176


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 949/533, 497/789, 653/744

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 949/533, 497/789, 653/744?

Answer: GCF of Numerators as per given numbers 949/533, 497/789, 653/744 is

GCF of Numerators i.e. for 949,497,653 is 1

LCM of denominators i.e. for 533,789,744 is 104293176.

Thus, GCF of Fractions is 1/104293176.Finally, GCF of Fractions for 949/533, 497/789, 653/744 is 1/104293176.