Greatest Common Factor of 169/10, 671/54, 567/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/10, 671/54, 567/90

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 169/10,671/54,567/90

Given fractions are 169/10,671/54,567/90

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 169,671,567

Greatest Common Factor of Numerators i.e. GCF of 169,671,567 is 1 .

LCM of Denominators means LCM of 10,54,90 as per the given fractions.

LCM of 10,54,90 is 270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,671,567

GCF of Fractions 169/10,671/54,567/90 is 1/270

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

Greatest Common Factor of 169,671,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,671,567 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 169,671,567 . The biggest common factor number is the GCF number.
So the greatest common factor 169,671,567 is 1.

Lets's calculate LCM of 10,54,90

2 10, 54, 90
3 5, 27, 45
3 5, 9, 15
5 5, 3, 5
1, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 3 x 1 = 270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270

Therefore, the GCF of Fractions 169/10,671/54,567/90 is 1/270

Least Common Multiple of 10,54,90 with GCF Formula

Least Common Multiple of 10,54,90 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 10,54,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,54,90) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(10,54,90) x common factors =2 x 90 = 180

LCM(10,54,90) = ( 10 × 54 × 90 ) / 180

LCM(10,54,90) = 48600 / 180

LCM(10,54,90) = 270


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 169/10, 671/54, 567/90

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 169/10, 671/54, 567/90?

Answer: GCF of Numerators as per given numbers 169/10, 671/54, 567/90 is

GCF of Numerators i.e. for 169,671,567 is 1

LCM of denominators i.e. for 10,54,90 is 270.

Thus, GCF of Fractions is 1/270.Finally, GCF of Fractions for 169/10, 671/54, 567/90 is 1/270.