Greatest Common Factor of 134/359, 2204/5194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 134/359, 2204/5194

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 134/359,2204/5194

Given fractions are 134/359,2204/5194

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 134,2204

Greatest Common Factor of Numerators i.e. GCF of 134,2204 is 2 .

LCM of Denominators means LCM of 359,5194 as per the given fractions.

LCM of 359,5194 is 1864646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 134,2204

GCF of Fractions 134/359,2204/5194 is 2/1864646

2 134, 2204
67, 1102

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

Greatest Common Factor of 134,2204 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,2204 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 2204

List of positive integer factors of 2204 that divides 2204 without a remainder.

1,2,4,19,29,38,58,76,116,551,1102,2204

Greatest Common Factor

We found the factors 134,2204 . The biggest common factor number is the GCF number.
So the greatest common factor 134,2204 is 2.

Lets's calculate LCM of 359,5194

Given numbers has no common factors except 1. So, there LCM is their product i.e 1864646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1864646

Therefore, the GCF of Fractions 134/359,2204/5194 is 2/1864646

Least Common Multiple of 359,5194 with GCF Formula

Least Common Multiple of 359,5194 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 359,5194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,5194) = 1

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

GCF(359,5194) x common factors =1 x 1 = 1

LCM(359,5194) = ( 359 × 5194 ) / 1

LCM(359,5194) = 1864646 / 1

LCM(359,5194) = 1864646


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 134/359, 2204/5194

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 134/359, 2204/5194?

Answer: GCF of Numerators as per given numbers 134/359, 2204/5194 is

GCF of Numerators i.e. for 134,2204 is 2

LCM of denominators i.e. for 359,5194 is 1864646.

Thus, GCF of Fractions is 2/1864646.Finally, GCF of Fractions for 134/359, 2204/5194 is 2/1864646.