Greatest Common Factor of 5747/610, 3231/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5747/610, 3231/138

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 5747/610,3231/138

Given fractions are 5747/610,3231/138

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 5747,3231

Greatest Common Factor of Numerators i.e. GCF of 5747,3231 is 1 .

LCM of Denominators means LCM of 610,138 as per the given fractions.

LCM of 610,138 is 42090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5747,3231

GCF of Fractions 5747/610,3231/138 is 1/42090

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

Greatest Common Factor of 5747,3231 By Matching Biggest Common Factor Method

Greatest Common Factor of 5747,3231 By Matching Biggest Common Factor Method

Factors of 5747

List of positive integer factors of 5747 that divides 5747 without a remainder.

1,7,821,5747

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1,3,9,359,1077,3231

Greatest Common Factor

We found the factors 5747,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 5747,3231 is 1.

Lets's calculate LCM of 610,138

2 610, 138
305, 69

∴ So the LCM of the given numbers is 2 x 305 x 69 = 42090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42090

Therefore, the GCF of Fractions 5747/610,3231/138 is 1/42090

Least Common Multiple of 610,138 with GCF Formula

Least Common Multiple of 610,138 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 610,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,138) = 2

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

GCF(610,138) x common factors =2 x 1 = 2

LCM(610,138) = ( 610 × 138 ) / 2

LCM(610,138) = 84180 / 2

LCM(610,138) = 42090


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 5747/610, 3231/138

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 5747/610, 3231/138?

Answer: GCF of Numerators as per given numbers 5747/610, 3231/138 is

GCF of Numerators i.e. for 5747,3231 is 1

LCM of denominators i.e. for 610,138 is 42090.

Thus, GCF of Fractions is 1/42090.Finally, GCF of Fractions for 5747/610, 3231/138 is 1/42090.