Greatest Common Factor of 87/678, 174/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/678, 174/106

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 87/678,174/106

Given fractions are 87/678,174/106

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 87,174

Greatest Common Factor of Numerators i.e. GCF of 87,174 is 87 .

LCM of Denominators means LCM of 678,106 as per the given fractions.

LCM of 678,106 is 35934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,174

GCF of Fractions 87/678,174/106 is 87/35934

3 87, 174
29 29, 58
1, 2

∴ So the GCF of the given numbers is 3 x 29 = 87

Greatest Common Factor of 87,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,174 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 87,174 . The biggest common factor number is the GCF number.
So the greatest common factor 87,174 is 87.

Lets's calculate LCM of 678,106

2 678, 106
339, 53

∴ So the LCM of the given numbers is 2 x 339 x 53 = 35934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/35934

Therefore, the GCF of Fractions 87/678,174/106 is 87/35934

Least Common Multiple of 678,106 with GCF Formula

Least Common Multiple of 678,106 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 678,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,106) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(678,106) x common factors =2 x 1 = 2

LCM(678,106) = ( 678 × 106 ) / 2

LCM(678,106) = 71868 / 2

LCM(678,106) = 35934


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 87/678, 174/106

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 87/678, 174/106?

Answer: GCF of Numerators as per given numbers 87/678, 174/106 is

GCF of Numerators i.e. for 87,174 is 87

LCM of denominators i.e. for 678,106 is 35934.

Thus, GCF of Fractions is 87/35934.Finally, GCF of Fractions for 87/678, 174/106 is 87/35934.