Greatest Common Factor of 2177/984, 1442/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2177/984, 1442/439

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 2177/984,1442/439

Given fractions are 2177/984,1442/439

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 2177,1442

Greatest Common Factor of Numerators i.e. GCF of 2177,1442 is 7 .

LCM of Denominators means LCM of 984,439 as per the given fractions.

LCM of 984,439 is 431976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2177,1442

GCF of Fractions 2177/984,1442/439 is 7/431976

7 2177, 1442
311, 206

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2177,1442 By Matching Biggest Common Factor Method

Greatest Common Factor of 2177,1442 By Matching Biggest Common Factor Method

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1,7,311,2177

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Greatest Common Factor

We found the factors 2177,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 2177,1442 is 7.

Lets's calculate LCM of 984,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 431976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/431976

Therefore, the GCF of Fractions 2177/984,1442/439 is 7/431976

Least Common Multiple of 984,439 with GCF Formula

Least Common Multiple of 984,439 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 984,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,439) = 1

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

GCF(984,439) x common factors =1 x 1 = 1

LCM(984,439) = ( 984 × 439 ) / 1

LCM(984,439) = 431976 / 1

LCM(984,439) = 431976


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 2177/984, 1442/439

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 2177/984, 1442/439?

Answer: GCF of Numerators as per given numbers 2177/984, 1442/439 is

GCF of Numerators i.e. for 2177,1442 is 7

LCM of denominators i.e. for 984,439 is 431976.

Thus, GCF of Fractions is 7/431976.Finally, GCF of Fractions for 2177/984, 1442/439 is 7/431976.