Greatest Common Factor of 620/71, 568/94, 351/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 620/71, 568/94, 351/358

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 620/71,568/94,351/358

Given fractions are 620/71,568/94,351/358

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 620,568,351

Greatest Common Factor of Numerators i.e. GCF of 620,568,351 is 1 .

LCM of Denominators means LCM of 71,94,358 as per the given fractions.

LCM of 71,94,358 is 1194646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 620,568,351

GCF of Fractions 620/71,568/94,351/358 is 1/1194646

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

Greatest Common Factor of 620,568,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,568,351 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 620,568,351 . The biggest common factor number is the GCF number.
So the greatest common factor 620,568,351 is 1.


Lets's calculate LCM of 71,94,358

2 71, 94, 358
71, 47, 179

∴ So the LCM of the given numbers is 2 x 71 x 47 x 179 = 1194646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194646

Therefore, the GCF of Fractions 620/71,568/94,351/358 is 1/1194646

Least Common Multiple of 71,94,358 with GCF Formula

Least Common Multiple of 71,94,358 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 71,94,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,94,358) = 1

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

GCF(71,94,358) x common factors =1 x 2 = 2

LCM(71,94,358) = ( 71 × 94 × 358 ) / 2

LCM(71,94,358) = 2389292 / 2

LCM(71,94,358) = 1194646


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 620/71, 568/94, 351/358

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 620/71, 568/94, 351/358?

Answer: GCF of Numerators as per given numbers 620/71, 568/94, 351/358 is

GCF of Numerators i.e. for 620,568,351 is 1

LCM of denominators i.e. for 71,94,358 is 1194646.

Thus, GCF of Fractions is 1/1194646.Finally, GCF of Fractions for 620/71, 568/94, 351/358 is 1/1194646.