Greatest Common Factor of 71/49, 357/31, 453/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/49, 357/31, 453/682

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 71/49,357/31,453/682

Given fractions are 71/49,357/31,453/682

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 71,357,453

Greatest Common Factor of Numerators i.e. GCF of 71,357,453 is 1 .

LCM of Denominators means LCM of 49,31,682 as per the given fractions.

LCM of 49,31,682 is 33418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,357,453

GCF of Fractions 71/49,357/31,453/682 is 1/33418

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

Greatest Common Factor of 71,357,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,357,453 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 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 71,357,453 . The biggest common factor number is the GCF number.
So the greatest common factor 71,357,453 is 1.

Lets's calculate LCM of 49,31,682

31 49, 31, 682
49, 1, 22

∴ So the LCM of the given numbers is 31 x 49 x 1 x 22 = 33418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33418

Therefore, the GCF of Fractions 71/49,357/31,453/682 is 1/33418

Least Common Multiple of 49,31,682 with GCF Formula

Least Common Multiple of 49,31,682 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 49,31,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,31,682) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(49,31,682) x common factors =1 x 31 = 31

LCM(49,31,682) = ( 49 × 31 × 682 ) / 31

LCM(49,31,682) = 1035958 / 31

LCM(49,31,682) = 33418


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 71/49, 357/31, 453/682

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 71/49, 357/31, 453/682?

Answer: GCF of Numerators as per given numbers 71/49, 357/31, 453/682 is

GCF of Numerators i.e. for 71,357,453 is 1

LCM of denominators i.e. for 49,31,682 is 33418.

Thus, GCF of Fractions is 1/33418.Finally, GCF of Fractions for 71/49, 357/31, 453/682 is 1/33418.