Greatest Common Factor of 938/360, 730/893, 682/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/360, 730/893, 682/649

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 938/360,730/893,682/649

Given fractions are 938/360,730/893,682/649

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 938,730,682

Greatest Common Factor of Numerators i.e. GCF of 938,730,682 is 2 .

LCM of Denominators means LCM of 360,893,649 as per the given fractions.

LCM of 360,893,649 is 208640520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,730,682

GCF of Fractions 938/360,730/893,682/649 is 2/208640520

2 938, 730, 682
469, 365, 341

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 938,730,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,730,682 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 938,730,682 . The biggest common factor number is the GCF number.
So the greatest common factor 938,730,682 is 2.

Lets's calculate LCM of 360,893,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 208640520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208640520

Therefore, the GCF of Fractions 938/360,730/893,682/649 is 2/208640520

Least Common Multiple of 360,893,649 with GCF Formula

Least Common Multiple of 360,893,649 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 360,893,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,893,649) = 1

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

GCF(360,893,649) x common factors =1 x 1 = 1

LCM(360,893,649) = ( 360 × 893 × 649 ) / 1

LCM(360,893,649) = 208640520 / 1

LCM(360,893,649) = 208640520


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 938/360, 730/893, 682/649

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 938/360, 730/893, 682/649?

Answer: GCF of Numerators as per given numbers 938/360, 730/893, 682/649 is

GCF of Numerators i.e. for 938,730,682 is 2

LCM of denominators i.e. for 360,893,649 is 208640520.

Thus, GCF of Fractions is 2/208640520.Finally, GCF of Fractions for 938/360, 730/893, 682/649 is 2/208640520.