Greatest Common Factor of 204/420, 1190/4480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/420, 1190/4480

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 204/420,1190/4480

Given fractions are 204/420,1190/4480

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 204,1190

Greatest Common Factor of Numerators i.e. GCF of 204,1190 is 34 .

LCM of Denominators means LCM of 420,4480 as per the given fractions.

LCM of 420,4480 is 13440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,1190

GCF of Fractions 204/420,1190/4480 is 34/13440

2 204, 1190
17 102, 595
6, 35

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 204,1190 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,1190 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190

Greatest Common Factor

We found the factors 204,1190 . The biggest common factor number is the GCF number.
So the greatest common factor 204,1190 is 34.

Lets's calculate LCM of 420,4480

2 420, 4480
2 210, 2240
5 105, 1120
7 21, 224
3, 32

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 3 x 32 = 13440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/13440

Therefore, the GCF of Fractions 204/420,1190/4480 is 34/13440

Least Common Multiple of 420,4480 with GCF Formula

Least Common Multiple of 420,4480 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 420,4480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,4480) = 140

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

GCF(420,4480) x common factors =140 x 1 = 140

LCM(420,4480) = ( 420 × 4480 ) / 140

LCM(420,4480) = 1881600 / 140

LCM(420,4480) = 13440


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 204/420, 1190/4480

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 204/420, 1190/4480?

Answer: GCF of Numerators as per given numbers 204/420, 1190/4480 is

GCF of Numerators i.e. for 204,1190 is 34

LCM of denominators i.e. for 420,4480 is 13440.

Thus, GCF of Fractions is 34/13440.Finally, GCF of Fractions for 204/420, 1190/4480 is 34/13440.