Greatest Common Factor of 3620/75, 9304/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3620/75, 9304/284

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 3620/75,9304/284

Given fractions are 3620/75,9304/284

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 3620,9304

Greatest Common Factor of Numerators i.e. GCF of 3620,9304 is 4 .

LCM of Denominators means LCM of 75,284 as per the given fractions.

LCM of 75,284 is 21300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3620,9304

GCF of Fractions 3620/75,9304/284 is 4/21300

2 3620, 9304
2 1810, 4652
905, 2326

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

Greatest Common Factor of 3620,9304 By Matching Biggest Common Factor Method

Greatest Common Factor of 3620,9304 By Matching Biggest Common Factor Method

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Greatest Common Factor

We found the factors 3620,9304 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,9304 is 4.

Lets's calculate LCM of 75,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 21300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21300

Therefore, the GCF of Fractions 3620/75,9304/284 is 4/21300

Least Common Multiple of 75,284 with GCF Formula

Least Common Multiple of 75,284 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 75,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,284) = 1

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

GCF(75,284) x common factors =1 x 1 = 1

LCM(75,284) = ( 75 × 284 ) / 1

LCM(75,284) = 21300 / 1

LCM(75,284) = 21300


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 3620/75, 9304/284

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 3620/75, 9304/284?

Answer: GCF of Numerators as per given numbers 3620/75, 9304/284 is

GCF of Numerators i.e. for 3620,9304 is 4

LCM of denominators i.e. for 75,284 is 21300.

Thus, GCF of Fractions is 4/21300.Finally, GCF of Fractions for 3620/75, 9304/284 is 4/21300.