Greatest Common Factor of 71/490, 37/548, 713/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/490, 37/548, 713/987

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 71/490,37/548,713/987

Given fractions are 71/490,37/548,713/987

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 71,37,713

Greatest Common Factor of Numerators i.e. GCF of 71,37,713 is 1 .

LCM of Denominators means LCM of 490,548,987 as per the given fractions.

LCM of 490,548,987 is 18930660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,37,713

GCF of Fractions 71/490,37/548,713/987 is 1/18930660

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

Greatest Common Factor of 71,37,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,37,713 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 71,37,713 . The biggest common factor number is the GCF number.
So the greatest common factor 71,37,713 is 1.

Lets's calculate LCM of 490,548,987

2 490, 548, 987
7 245, 274, 987
35, 274, 141

∴ So the LCM of the given numbers is 2 x 7 x 35 x 274 x 141 = 18930660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18930660

Therefore, the GCF of Fractions 71/490,37/548,713/987 is 1/18930660

Least Common Multiple of 490,548,987 with GCF Formula

Least Common Multiple of 490,548,987 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 490,548,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,548,987) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(490,548,987) x common factors =1 x 14 = 14

LCM(490,548,987) = ( 490 × 548 × 987 ) / 14

LCM(490,548,987) = 265029240 / 14

LCM(490,548,987) = 18930660


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 71/490, 37/548, 713/987

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 71/490, 37/548, 713/987?

Answer: GCF of Numerators as per given numbers 71/490, 37/548, 713/987 is

GCF of Numerators i.e. for 71,37,713 is 1

LCM of denominators i.e. for 490,548,987 is 18930660.

Thus, GCF of Fractions is 1/18930660.Finally, GCF of Fractions for 71/490, 37/548, 713/987 is 1/18930660.