Greatest Common Factor of 656/88, 353/50, 594/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 656/88, 353/50, 594/146

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 656/88,353/50,594/146

Given fractions are 656/88,353/50,594/146

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 656,353,594

Greatest Common Factor of Numerators i.e. GCF of 656,353,594 is 1 .

LCM of Denominators means LCM of 88,50,146 as per the given fractions.

LCM of 88,50,146 is 160600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 656,353,594

GCF of Fractions 656/88,353/50,594/146 is 1/160600

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

Greatest Common Factor of 656,353,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,353,594 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 656,353,594 . The biggest common factor number is the GCF number.
So the greatest common factor 656,353,594 is 1.

Lets's calculate LCM of 88,50,146

2 88, 50, 146
44, 25, 73

∴ So the LCM of the given numbers is 2 x 44 x 25 x 73 = 160600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160600

Therefore, the GCF of Fractions 656/88,353/50,594/146 is 1/160600

Least Common Multiple of 88,50,146 with GCF Formula

Least Common Multiple of 88,50,146 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 88,50,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,50,146) = 2

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

GCF(88,50,146) x common factors =2 x 2 = 4

LCM(88,50,146) = ( 88 × 50 × 146 ) / 4

LCM(88,50,146) = 642400 / 4

LCM(88,50,146) = 160600


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 656/88, 353/50, 594/146

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 656/88, 353/50, 594/146?

Answer: GCF of Numerators as per given numbers 656/88, 353/50, 594/146 is

GCF of Numerators i.e. for 656,353,594 is 1

LCM of denominators i.e. for 88,50,146 is 160600.

Thus, GCF of Fractions is 1/160600.Finally, GCF of Fractions for 656/88, 353/50, 594/146 is 1/160600.