Greatest Common Factor of 7258/598, 5914/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7258/598, 5914/432

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 7258/598,5914/432

Given fractions are 7258/598,5914/432

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 7258,5914

Greatest Common Factor of Numerators i.e. GCF of 7258,5914 is 2 .

LCM of Denominators means LCM of 598,432 as per the given fractions.

LCM of 598,432 is 129168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7258,5914

GCF of Fractions 7258/598,5914/432 is 2/129168

2 7258, 5914
3629, 2957

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

Greatest Common Factor of 7258,5914 By Matching Biggest Common Factor Method

Greatest Common Factor of 7258,5914 By Matching Biggest Common Factor Method

Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1,2,19,38,191,382,3629,7258

Factors of 5914

List of positive integer factors of 5914 that divides 5914 without a remainder.

1,2,2957,5914

Greatest Common Factor

We found the factors 7258,5914 . The biggest common factor number is the GCF number.
So the greatest common factor 7258,5914 is 2.

Lets's calculate LCM of 598,432

2 598, 432
299, 216

∴ So the LCM of the given numbers is 2 x 299 x 216 = 129168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129168

Therefore, the GCF of Fractions 7258/598,5914/432 is 2/129168

Least Common Multiple of 598,432 with GCF Formula

Least Common Multiple of 598,432 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 598,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,432) = 2

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

GCF(598,432) x common factors =2 x 1 = 2

LCM(598,432) = ( 598 × 432 ) / 2

LCM(598,432) = 258336 / 2

LCM(598,432) = 129168


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 7258/598, 5914/432

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 7258/598, 5914/432?

Answer: GCF of Numerators as per given numbers 7258/598, 5914/432 is

GCF of Numerators i.e. for 7258,5914 is 2

LCM of denominators i.e. for 598,432 is 129168.

Thus, GCF of Fractions is 2/129168.Finally, GCF of Fractions for 7258/598, 5914/432 is 2/129168.