Greatest Common Factor of 10/27, 78/438, 167/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/27, 78/438, 167/632

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 10/27,78/438,167/632

Given fractions are 10/27,78/438,167/632

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 10,78,167

Greatest Common Factor of Numerators i.e. GCF of 10,78,167 is 1 .

LCM of Denominators means LCM of 27,438,632 as per the given fractions.

LCM of 27,438,632 is 1245672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,78,167

GCF of Fractions 10/27,78/438,167/632 is 1/1245672

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

Greatest Common Factor of 10,78,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,78,167 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 10,78,167 . The biggest common factor number is the GCF number.
So the greatest common factor 10,78,167 is 1.

Lets's calculate LCM of 27,438,632

2 27, 438, 632
3 27, 219, 316
9, 73, 316

∴ So the LCM of the given numbers is 2 x 3 x 9 x 73 x 316 = 1245672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1245672

Therefore, the GCF of Fractions 10/27,78/438,167/632 is 1/1245672

Least Common Multiple of 27,438,632 with GCF Formula

Least Common Multiple of 27,438,632 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 27,438,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,438,632) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,438,632) x common factors =1 x 6 = 6

LCM(27,438,632) = ( 27 × 438 × 632 ) / 6

LCM(27,438,632) = 7474032 / 6

LCM(27,438,632) = 1245672


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 10/27, 78/438, 167/632

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 10/27, 78/438, 167/632?

Answer: GCF of Numerators as per given numbers 10/27, 78/438, 167/632 is

GCF of Numerators i.e. for 10,78,167 is 1

LCM of denominators i.e. for 27,438,632 is 1245672.

Thus, GCF of Fractions is 1/1245672.Finally, GCF of Fractions for 10/27, 78/438, 167/632 is 1/1245672.