Greatest Common Factor of 348/38, 989/52, 531/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/38, 989/52, 531/634

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 348/38,989/52,531/634

Given fractions are 348/38,989/52,531/634

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 348,989,531

Greatest Common Factor of Numerators i.e. GCF of 348,989,531 is 1 .

LCM of Denominators means LCM of 38,52,634 as per the given fractions.

LCM of 38,52,634 is 313196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,989,531

GCF of Fractions 348/38,989/52,531/634 is 1/313196

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

Greatest Common Factor of 348,989,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,989,531 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 348,989,531 . The biggest common factor number is the GCF number.
So the greatest common factor 348,989,531 is 1.

Lets's calculate LCM of 38,52,634

2 38, 52, 634
19, 26, 317

∴ So the LCM of the given numbers is 2 x 19 x 26 x 317 = 313196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313196

Therefore, the GCF of Fractions 348/38,989/52,531/634 is 1/313196

Least Common Multiple of 38,52,634 with GCF Formula

Least Common Multiple of 38,52,634 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 38,52,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,52,634) = 2

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

GCF(38,52,634) x common factors =2 x 2 = 4

LCM(38,52,634) = ( 38 × 52 × 634 ) / 4

LCM(38,52,634) = 1252784 / 4

LCM(38,52,634) = 313196


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 348/38, 989/52, 531/634

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 348/38, 989/52, 531/634?

Answer: GCF of Numerators as per given numbers 348/38, 989/52, 531/634 is

GCF of Numerators i.e. for 348,989,531 is 1

LCM of denominators i.e. for 38,52,634 is 313196.

Thus, GCF of Fractions is 1/313196.Finally, GCF of Fractions for 348/38, 989/52, 531/634 is 1/313196.