Greatest Common Factor of 983/749, 484/824, 791/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/749, 484/824, 791/302

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 983/749,484/824,791/302

Given fractions are 983/749,484/824,791/302

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 983,484,791

Greatest Common Factor of Numerators i.e. GCF of 983,484,791 is 1 .

LCM of Denominators means LCM of 749,824,302 as per the given fractions.

LCM of 749,824,302 is 93193576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,484,791

GCF of Fractions 983/749,484/824,791/302 is 1/93193576

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

Greatest Common Factor of 983,484,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,484,791 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 983,484,791 . The biggest common factor number is the GCF number.
So the greatest common factor 983,484,791 is 1.

Lets's calculate LCM of 749,824,302

2 749, 824, 302
749, 412, 151

∴ So the LCM of the given numbers is 2 x 749 x 412 x 151 = 93193576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93193576

Therefore, the GCF of Fractions 983/749,484/824,791/302 is 1/93193576

Least Common Multiple of 749,824,302 with GCF Formula

Least Common Multiple of 749,824,302 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 749,824,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,824,302) = 1

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

GCF(749,824,302) x common factors =1 x 2 = 2

LCM(749,824,302) = ( 749 × 824 × 302 ) / 2

LCM(749,824,302) = 186387152 / 2

LCM(749,824,302) = 93193576


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 983/749, 484/824, 791/302

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 983/749, 484/824, 791/302?

Answer: GCF of Numerators as per given numbers 983/749, 484/824, 791/302 is

GCF of Numerators i.e. for 983,484,791 is 1

LCM of denominators i.e. for 749,824,302 is 93193576.

Thus, GCF of Fractions is 1/93193576.Finally, GCF of Fractions for 983/749, 484/824, 791/302 is 1/93193576.