Greatest Common Factor of 7430/354, 4589/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7430/354, 4589/222

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 7430/354,4589/222

Given fractions are 7430/354,4589/222

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 7430,4589

Greatest Common Factor of Numerators i.e. GCF of 7430,4589 is 1 .

LCM of Denominators means LCM of 354,222 as per the given fractions.

LCM of 354,222 is 13098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7430,4589

GCF of Fractions 7430/354,4589/222 is 1/13098

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

Greatest Common Factor of 7430,4589 By Matching Biggest Common Factor Method

Greatest Common Factor of 7430,4589 By Matching Biggest Common Factor Method

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1,2,5,10,743,1486,3715,7430

Factors of 4589

List of positive integer factors of 4589 that divides 4589 without a remainder.

1,13,353,4589

Greatest Common Factor

We found the factors 7430,4589 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,4589 is 1.

Lets's calculate LCM of 354,222

2 354, 222
3 177, 111
59, 37

∴ So the LCM of the given numbers is 2 x 3 x 59 x 37 = 13098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13098

Therefore, the GCF of Fractions 7430/354,4589/222 is 1/13098

Least Common Multiple of 354,222 with GCF Formula

Least Common Multiple of 354,222 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 354,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,222) = 6

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

GCF(354,222) x common factors =6 x 1 = 6

LCM(354,222) = ( 354 × 222 ) / 6

LCM(354,222) = 78588 / 6

LCM(354,222) = 13098


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 7430/354, 4589/222

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 7430/354, 4589/222?

Answer: GCF of Numerators as per given numbers 7430/354, 4589/222 is

GCF of Numerators i.e. for 7430,4589 is 1

LCM of denominators i.e. for 354,222 is 13098.

Thus, GCF of Fractions is 1/13098.Finally, GCF of Fractions for 7430/354, 4589/222 is 1/13098.