Greatest Common Factor of 2731/850, 5440/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2731/850, 5440/164

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 2731/850,5440/164

Given fractions are 2731/850,5440/164

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 2731,5440

Greatest Common Factor of Numerators i.e. GCF of 2731,5440 is 1 .

LCM of Denominators means LCM of 850,164 as per the given fractions.

LCM of 850,164 is 69700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2731,5440

GCF of Fractions 2731/850,5440/164 is 1/69700

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

Greatest Common Factor of 2731,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 2731,5440 By Matching Biggest Common Factor Method

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1,2731

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 2731,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,5440 is 1.

Lets's calculate LCM of 850,164

2 850, 164
425, 82

∴ So the LCM of the given numbers is 2 x 425 x 82 = 69700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69700

Therefore, the GCF of Fractions 2731/850,5440/164 is 1/69700

Least Common Multiple of 850,164 with GCF Formula

Least Common Multiple of 850,164 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 850,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,164) = 2

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

GCF(850,164) x common factors =2 x 1 = 2

LCM(850,164) = ( 850 × 164 ) / 2

LCM(850,164) = 139400 / 2

LCM(850,164) = 69700


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 2731/850, 5440/164

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 2731/850, 5440/164?

Answer: GCF of Numerators as per given numbers 2731/850, 5440/164 is

GCF of Numerators i.e. for 2731,5440 is 1

LCM of denominators i.e. for 850,164 is 69700.

Thus, GCF of Fractions is 1/69700.Finally, GCF of Fractions for 2731/850, 5440/164 is 1/69700.