Greatest Common Factor of 3172/898, 4084/9113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3172/898, 4084/9113

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 3172/898,4084/9113

Given fractions are 3172/898,4084/9113

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 3172,4084

Greatest Common Factor of Numerators i.e. GCF of 3172,4084 is 4 .

LCM of Denominators means LCM of 898,9113 as per the given fractions.

LCM of 898,9113 is 8183474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3172,4084

GCF of Fractions 3172/898,4084/9113 is 4/8183474

2 3172, 4084
2 1586, 2042
793, 1021

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3172,4084 By Matching Biggest Common Factor Method

Greatest Common Factor of 3172,4084 By Matching Biggest Common Factor Method

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1,2,4,1021,2042,4084

Greatest Common Factor

We found the factors 3172,4084 . The biggest common factor number is the GCF number.
So the greatest common factor 3172,4084 is 4.

Lets's calculate LCM of 898,9113

Given numbers has no common factors except 1. So, there LCM is their product i.e 8183474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8183474

Therefore, the GCF of Fractions 3172/898,4084/9113 is 4/8183474

Least Common Multiple of 898,9113 with GCF Formula

Least Common Multiple of 898,9113 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 898,9113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,9113) = 1

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

GCF(898,9113) x common factors =1 x 1 = 1

LCM(898,9113) = ( 898 × 9113 ) / 1

LCM(898,9113) = 8183474 / 1

LCM(898,9113) = 8183474


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 3172/898, 4084/9113

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 3172/898, 4084/9113?

Answer: GCF of Numerators as per given numbers 3172/898, 4084/9113 is

GCF of Numerators i.e. for 3172,4084 is 4

LCM of denominators i.e. for 898,9113 is 8183474.

Thus, GCF of Fractions is 4/8183474.Finally, GCF of Fractions for 3172/898, 4084/9113 is 4/8183474.