Greatest Common Factor of 871/94, 801/52, 169/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/94, 801/52, 169/658

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 871/94,801/52,169/658

Given fractions are 871/94,801/52,169/658

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 871,801,169

Greatest Common Factor of Numerators i.e. GCF of 871,801,169 is 1 .

LCM of Denominators means LCM of 94,52,658 as per the given fractions.

LCM of 94,52,658 is 17108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,801,169

GCF of Fractions 871/94,801/52,169/658 is 1/17108

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

Greatest Common Factor of 871,801,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,801,169 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 169

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

1,13,169

Greatest Common Factor

We found the factors 871,801,169 . The biggest common factor number is the GCF number.
So the greatest common factor 871,801,169 is 1.

Lets's calculate LCM of 94,52,658

2 94, 52, 658
47 47, 26, 329
1, 26, 7

∴ So the LCM of the given numbers is 2 x 47 x 1 x 26 x 7 = 17108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17108

Therefore, the GCF of Fractions 871/94,801/52,169/658 is 1/17108

Least Common Multiple of 94,52,658 with GCF Formula

Least Common Multiple of 94,52,658 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 94,52,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,52,658) = 2

common factors(in case of two or more numbers have common factors) = 94

GCF(94,52,658) x common factors =2 x 94 = 188

LCM(94,52,658) = ( 94 × 52 × 658 ) / 188

LCM(94,52,658) = 3216304 / 188

LCM(94,52,658) = 17108


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 871/94, 801/52, 169/658

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 871/94, 801/52, 169/658?

Answer: GCF of Numerators as per given numbers 871/94, 801/52, 169/658 is

GCF of Numerators i.e. for 871,801,169 is 1

LCM of denominators i.e. for 94,52,658 is 17108.

Thus, GCF of Fractions is 1/17108.Finally, GCF of Fractions for 871/94, 801/52, 169/658 is 1/17108.