Greatest Common Factor of 934/29, 538/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 934/29, 538/986

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 934/29,538/986

Given fractions are 934/29,538/986

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 934,538

Greatest Common Factor of Numerators i.e. GCF of 934,538 is 2 .

LCM of Denominators means LCM of 29,986 as per the given fractions.

LCM of 29,986 is 986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 934,538

GCF of Fractions 934/29,538/986 is 2/986

2 934, 538
467, 269

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

Greatest Common Factor of 934,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,538 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 934,538 . The biggest common factor number is the GCF number.
So the greatest common factor 934,538 is 2.

Lets's calculate LCM of 29,986

29 29, 986
1, 34

∴ So the LCM of the given numbers is 29 x 1 x 34 = 986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/986

Therefore, the GCF of Fractions 934/29,538/986 is 2/986

Least Common Multiple of 29,986 with GCF Formula

Least Common Multiple of 29,986 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 29,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,986) = 29

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

GCF(29,986) x common factors =29 x 1 = 29

LCM(29,986) = ( 29 × 986 ) / 29

LCM(29,986) = 28594 / 29

LCM(29,986) = 986


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 934/29, 538/986

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 934/29, 538/986?

Answer: GCF of Numerators as per given numbers 934/29, 538/986 is

GCF of Numerators i.e. for 934,538 is 2

LCM of denominators i.e. for 29,986 is 986.

Thus, GCF of Fractions is 2/986.Finally, GCF of Fractions for 934/29, 538/986 is 2/986.