Greatest Common Factor of 172/87, 674/28, 106/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 172/87, 674/28, 106/926

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 172/87,674/28,106/926

Given fractions are 172/87,674/28,106/926

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 172,674,106

Greatest Common Factor of Numerators i.e. GCF of 172,674,106 is 2 .

LCM of Denominators means LCM of 87,28,926 as per the given fractions.

LCM of 87,28,926 is 1127868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 172,674,106

GCF of Fractions 172/87,674/28,106/926 is 2/1127868

2 172, 674, 106
86, 337, 53

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 172,674,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,674,106 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 172,674,106 . The biggest common factor number is the GCF number.
So the greatest common factor 172,674,106 is 2.

Lets's calculate LCM of 87,28,926

2 87, 28, 926
87, 14, 463

∴ So the LCM of the given numbers is 2 x 87 x 14 x 463 = 1127868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1127868

Therefore, the GCF of Fractions 172/87,674/28,106/926 is 2/1127868

Least Common Multiple of 87,28,926 with GCF Formula

Least Common Multiple of 87,28,926 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 87,28,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,28,926) = 1

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

GCF(87,28,926) x common factors =1 x 2 = 2

LCM(87,28,926) = ( 87 × 28 × 926 ) / 2

LCM(87,28,926) = 2255736 / 2

LCM(87,28,926) = 1127868


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 172/87, 674/28, 106/926

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 172/87, 674/28, 106/926?

Answer: GCF of Numerators as per given numbers 172/87, 674/28, 106/926 is

GCF of Numerators i.e. for 172,674,106 is 2

LCM of denominators i.e. for 87,28,926 is 1127868.

Thus, GCF of Fractions is 2/1127868.Finally, GCF of Fractions for 172/87, 674/28, 106/926 is 2/1127868.