Greatest Common Factor of 7270/884, 1983/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7270/884, 1983/172

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 7270/884,1983/172

Given fractions are 7270/884,1983/172

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 7270,1983

Greatest Common Factor of Numerators i.e. GCF of 7270,1983 is 1 .

LCM of Denominators means LCM of 884,172 as per the given fractions.

LCM of 884,172 is 38012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7270,1983

GCF of Fractions 7270/884,1983/172 is 1/38012

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

Greatest Common Factor of 7270,1983 By Matching Biggest Common Factor Method

Greatest Common Factor of 7270,1983 By Matching Biggest Common Factor Method

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Factors of 1983

List of positive integer factors of 1983 that divides 1983 without a remainder.

1,3,661,1983

Greatest Common Factor

We found the factors 7270,1983 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,1983 is 1.

Lets's calculate LCM of 884,172

2 884, 172
2 442, 86
221, 43

∴ So the LCM of the given numbers is 2 x 2 x 221 x 43 = 38012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38012

Therefore, the GCF of Fractions 7270/884,1983/172 is 1/38012

Least Common Multiple of 884,172 with GCF Formula

Least Common Multiple of 884,172 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 884,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,172) = 4

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

GCF(884,172) x common factors =4 x 1 = 4

LCM(884,172) = ( 884 × 172 ) / 4

LCM(884,172) = 152048 / 4

LCM(884,172) = 38012


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 7270/884, 1983/172

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 7270/884, 1983/172?

Answer: GCF of Numerators as per given numbers 7270/884, 1983/172 is

GCF of Numerators i.e. for 7270,1983 is 1

LCM of denominators i.e. for 884,172 is 38012.

Thus, GCF of Fractions is 1/38012.Finally, GCF of Fractions for 7270/884, 1983/172 is 1/38012.