Greatest Common Factor of 891/85, 919/53, 417/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 891/85, 919/53, 417/646

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 891/85,919/53,417/646

Given fractions are 891/85,919/53,417/646

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 891,919,417

Greatest Common Factor of Numerators i.e. GCF of 891,919,417 is 1 .

LCM of Denominators means LCM of 85,53,646 as per the given fractions.

LCM of 85,53,646 is 171190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 891,919,417

GCF of Fractions 891/85,919/53,417/646 is 1/171190

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

Greatest Common Factor of 891,919,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,919,417 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 891,919,417 . The biggest common factor number is the GCF number.
So the greatest common factor 891,919,417 is 1.

Lets's calculate LCM of 85,53,646

17 85, 53, 646
5, 53, 38

∴ So the LCM of the given numbers is 17 x 5 x 53 x 38 = 171190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171190

Therefore, the GCF of Fractions 891/85,919/53,417/646 is 1/171190

Least Common Multiple of 85,53,646 with GCF Formula

Least Common Multiple of 85,53,646 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 85,53,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,53,646) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,53,646) x common factors =1 x 17 = 17

LCM(85,53,646) = ( 85 × 53 × 646 ) / 17

LCM(85,53,646) = 2910230 / 17

LCM(85,53,646) = 171190


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 891/85, 919/53, 417/646

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 891/85, 919/53, 417/646?

Answer: GCF of Numerators as per given numbers 891/85, 919/53, 417/646 is

GCF of Numerators i.e. for 891,919,417 is 1

LCM of denominators i.e. for 85,53,646 is 171190.

Thus, GCF of Fractions is 1/171190.Finally, GCF of Fractions for 891/85, 919/53, 417/646 is 1/171190.