Greatest Common Factor of 4594/28, 7162/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4594/28, 7162/640

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 4594/28,7162/640

Given fractions are 4594/28,7162/640

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 4594,7162

Greatest Common Factor of Numerators i.e. GCF of 4594,7162 is 2 .

LCM of Denominators means LCM of 28,640 as per the given fractions.

LCM of 28,640 is 4480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4594,7162

GCF of Fractions 4594/28,7162/640 is 2/4480

2 4594, 7162
2297, 3581

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

Greatest Common Factor of 4594,7162 By Matching Biggest Common Factor Method

Greatest Common Factor of 4594,7162 By Matching Biggest Common Factor Method

Factors of 4594

List of positive integer factors of 4594 that divides 4594 without a remainder.

1,2,2297,4594

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Greatest Common Factor

We found the factors 4594,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 4594,7162 is 2.

Lets's calculate LCM of 28,640

2 28, 640
2 14, 320
7, 160

∴ So the LCM of the given numbers is 2 x 2 x 7 x 160 = 4480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4480

Therefore, the GCF of Fractions 4594/28,7162/640 is 2/4480

Least Common Multiple of 28,640 with GCF Formula

Least Common Multiple of 28,640 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 28,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,640) = 4

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

GCF(28,640) x common factors =4 x 1 = 4

LCM(28,640) = ( 28 × 640 ) / 4

LCM(28,640) = 17920 / 4

LCM(28,640) = 4480


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 4594/28, 7162/640

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 4594/28, 7162/640?

Answer: GCF of Numerators as per given numbers 4594/28, 7162/640 is

GCF of Numerators i.e. for 4594,7162 is 2

LCM of denominators i.e. for 28,640 is 4480.

Thus, GCF of Fractions is 2/4480.Finally, GCF of Fractions for 4594/28, 7162/640 is 2/4480.