Greatest Common Factor of 894/74, 109/22, 271/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/74, 109/22, 271/10

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 894/74,109/22,271/10

Given fractions are 894/74,109/22,271/10

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 894,109,271

Greatest Common Factor of Numerators i.e. GCF of 894,109,271 is 1 .

LCM of Denominators means LCM of 74,22,10 as per the given fractions.

LCM of 74,22,10 is 4070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,109,271

GCF of Fractions 894/74,109/22,271/10 is 1/4070

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

Greatest Common Factor of 894,109,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,109,271 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 894,109,271 . The biggest common factor number is the GCF number.
So the greatest common factor 894,109,271 is 1.

Lets's calculate LCM of 74,22,10

2 74, 22, 10
37, 11, 5

∴ So the LCM of the given numbers is 2 x 37 x 11 x 5 = 4070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4070

Therefore, the GCF of Fractions 894/74,109/22,271/10 is 1/4070

Least Common Multiple of 74,22,10 with GCF Formula

Least Common Multiple of 74,22,10 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 74,22,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,22,10) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,22,10) x common factors =2 x 2 = 4

LCM(74,22,10) = ( 74 × 22 × 10 ) / 4

LCM(74,22,10) = 16280 / 4

LCM(74,22,10) = 4070


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 894/74, 109/22, 271/10

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 894/74, 109/22, 271/10?

Answer: GCF of Numerators as per given numbers 894/74, 109/22, 271/10 is

GCF of Numerators i.e. for 894,109,271 is 1

LCM of denominators i.e. for 74,22,10 is 4070.

Thus, GCF of Fractions is 1/4070.Finally, GCF of Fractions for 894/74, 109/22, 271/10 is 1/4070.