Greatest Common Factor of 171/897, 5130/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/897, 5130/438

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 171/897,5130/438

Given fractions are 171/897,5130/438

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 171,5130

Greatest Common Factor of Numerators i.e. GCF of 171,5130 is 171 .

LCM of Denominators means LCM of 897,438 as per the given fractions.

LCM of 897,438 is 130962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,5130

GCF of Fractions 171/897,5130/438 is 171/130962

3 171, 5130
3 57, 1710
19 19, 570
1, 30

∴ So the GCF of the given numbers is 3 x 3 x 19 = 171

Greatest Common Factor of 171,5130 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,5130 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors 171,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 171,5130 is 171.

Lets's calculate LCM of 897,438

3 897, 438
299, 146

∴ So the LCM of the given numbers is 3 x 299 x 146 = 130962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 171/130962

Therefore, the GCF of Fractions 171/897,5130/438 is 171/130962

Least Common Multiple of 897,438 with GCF Formula

Least Common Multiple of 897,438 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 897,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,438) = 3

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

GCF(897,438) x common factors =3 x 1 = 3

LCM(897,438) = ( 897 × 438 ) / 3

LCM(897,438) = 392886 / 3

LCM(897,438) = 130962


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 171/897, 5130/438

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 171/897, 5130/438?

Answer: GCF of Numerators as per given numbers 171/897, 5130/438 is

GCF of Numerators i.e. for 171,5130 is 171

LCM of denominators i.e. for 897,438 is 130962.

Thus, GCF of Fractions is 171/130962.Finally, GCF of Fractions for 171/897, 5130/438 is 171/130962.