Greatest Common Factor of 9238/674, 3556/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9238/674, 3556/523

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 9238/674,3556/523

Given fractions are 9238/674,3556/523

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 9238,3556

Greatest Common Factor of Numerators i.e. GCF of 9238,3556 is 2 .

LCM of Denominators means LCM of 674,523 as per the given fractions.

LCM of 674,523 is 352502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9238,3556

GCF of Fractions 9238/674,3556/523 is 2/352502

2 9238, 3556
4619, 1778

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

Greatest Common Factor of 9238,3556 By Matching Biggest Common Factor Method

Greatest Common Factor of 9238,3556 By Matching Biggest Common Factor Method

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1,2,4,7,14,28,127,254,508,889,1778,3556

Greatest Common Factor

We found the factors 9238,3556 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,3556 is 2.

Lets's calculate LCM of 674,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 352502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352502

Therefore, the GCF of Fractions 9238/674,3556/523 is 2/352502

Least Common Multiple of 674,523 with GCF Formula

Least Common Multiple of 674,523 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 674,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,523) = 1

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

GCF(674,523) x common factors =1 x 1 = 1

LCM(674,523) = ( 674 × 523 ) / 1

LCM(674,523) = 352502 / 1

LCM(674,523) = 352502


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 9238/674, 3556/523

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 9238/674, 3556/523?

Answer: GCF of Numerators as per given numbers 9238/674, 3556/523 is

GCF of Numerators i.e. for 9238,3556 is 2

LCM of denominators i.e. for 674,523 is 352502.

Thus, GCF of Fractions is 2/352502.Finally, GCF of Fractions for 9238/674, 3556/523 is 2/352502.