Greatest Common Factor of 7204/183, 3548/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7204/183, 3548/630

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 7204/183,3548/630

Given fractions are 7204/183,3548/630

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 7204,3548

Greatest Common Factor of Numerators i.e. GCF of 7204,3548 is 4 .

LCM of Denominators means LCM of 183,630 as per the given fractions.

LCM of 183,630 is 38430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7204,3548

GCF of Fractions 7204/183,3548/630 is 4/38430

2 7204, 3548
2 3602, 1774
1801, 887

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

Greatest Common Factor of 7204,3548 By Matching Biggest Common Factor Method

Greatest Common Factor of 7204,3548 By Matching Biggest Common Factor Method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Greatest Common Factor

We found the factors 7204,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 7204,3548 is 4.

Lets's calculate LCM of 183,630

3 183, 630
61, 210

∴ So the LCM of the given numbers is 3 x 61 x 210 = 38430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38430

Therefore, the GCF of Fractions 7204/183,3548/630 is 4/38430

Least Common Multiple of 183,630 with GCF Formula

Least Common Multiple of 183,630 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 183,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,630) = 3

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

GCF(183,630) x common factors =3 x 1 = 3

LCM(183,630) = ( 183 × 630 ) / 3

LCM(183,630) = 115290 / 3

LCM(183,630) = 38430


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 7204/183, 3548/630

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 7204/183, 3548/630?

Answer: GCF of Numerators as per given numbers 7204/183, 3548/630 is

GCF of Numerators i.e. for 7204,3548 is 4

LCM of denominators i.e. for 183,630 is 38430.

Thus, GCF of Fractions is 4/38430.Finally, GCF of Fractions for 7204/183, 3548/630 is 4/38430.