Greatest Common Factor of 107/172, 206/380, 688/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/172, 206/380, 688/532

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 107/172,206/380,688/532

Given fractions are 107/172,206/380,688/532

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 107,206,688

Greatest Common Factor of Numerators i.e. GCF of 107,206,688 is 1 .

LCM of Denominators means LCM of 172,380,532 as per the given fractions.

LCM of 172,380,532 is 114380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,206,688

GCF of Fractions 107/172,206/380,688/532 is 1/114380

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

Greatest Common Factor of 107,206,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,206,688 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 107,206,688 . The biggest common factor number is the GCF number.
So the greatest common factor 107,206,688 is 1.

Lets's calculate LCM of 172,380,532

2 172, 380, 532
2 86, 190, 266
19 43, 95, 133
43, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 19 x 43 x 5 x 7 = 114380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114380

Therefore, the GCF of Fractions 107/172,206/380,688/532 is 1/114380

Least Common Multiple of 172,380,532 with GCF Formula

Least Common Multiple of 172,380,532 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 172,380,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,380,532) = 4

common factors(in case of two or more numbers have common factors) = 76

GCF(172,380,532) x common factors =4 x 76 = 304

LCM(172,380,532) = ( 172 × 380 × 532 ) / 304

LCM(172,380,532) = 34771520 / 304

LCM(172,380,532) = 114380


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 107/172, 206/380, 688/532

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 107/172, 206/380, 688/532?

Answer: GCF of Numerators as per given numbers 107/172, 206/380, 688/532 is

GCF of Numerators i.e. for 107,206,688 is 1

LCM of denominators i.e. for 172,380,532 is 114380.

Thus, GCF of Fractions is 1/114380.Finally, GCF of Fractions for 107/172, 206/380, 688/532 is 1/114380.