Greatest Common Factor of 890/501, 817/710, 165/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/501, 817/710, 165/971

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 890/501,817/710,165/971

Given fractions are 890/501,817/710,165/971

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 890,817,165

Greatest Common Factor of Numerators i.e. GCF of 890,817,165 is 1 .

LCM of Denominators means LCM of 501,710,971 as per the given fractions.

LCM of 501,710,971 is 345394410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,817,165

GCF of Fractions 890/501,817/710,165/971 is 1/345394410

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

Greatest Common Factor of 890,817,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,817,165 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 890,817,165 . The biggest common factor number is the GCF number.
So the greatest common factor 890,817,165 is 1.

Lets's calculate LCM of 501,710,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 345394410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345394410

Therefore, the GCF of Fractions 890/501,817/710,165/971 is 1/345394410

Least Common Multiple of 501,710,971 with GCF Formula

Least Common Multiple of 501,710,971 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 501,710,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,710,971) = 1

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

GCF(501,710,971) x common factors =1 x 1 = 1

LCM(501,710,971) = ( 501 × 710 × 971 ) / 1

LCM(501,710,971) = 345394410 / 1

LCM(501,710,971) = 345394410


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 890/501, 817/710, 165/971

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 890/501, 817/710, 165/971?

Answer: GCF of Numerators as per given numbers 890/501, 817/710, 165/971 is

GCF of Numerators i.e. for 890,817,165 is 1

LCM of denominators i.e. for 501,710,971 is 345394410.

Thus, GCF of Fractions is 1/345394410.Finally, GCF of Fractions for 890/501, 817/710, 165/971 is 1/345394410.