Greatest Common Factor of 196/34, 146/4604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/34, 146/4604

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 196/34,146/4604

Given fractions are 196/34,146/4604

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 196,146

Greatest Common Factor of Numerators i.e. GCF of 196,146 is 2 .

LCM of Denominators means LCM of 34,4604 as per the given fractions.

LCM of 34,4604 is 78268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,146

GCF of Fractions 196/34,146/4604 is 2/78268

2 196, 146
98, 73

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

Greatest Common Factor of 196,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,146 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 196,146 . The biggest common factor number is the GCF number.
So the greatest common factor 196,146 is 2.

Lets's calculate LCM of 34,4604

2 34, 4604
17, 2302

∴ So the LCM of the given numbers is 2 x 17 x 2302 = 78268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78268

Therefore, the GCF of Fractions 196/34,146/4604 is 2/78268

Least Common Multiple of 34,4604 with GCF Formula

Least Common Multiple of 34,4604 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 34,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,4604) = 2

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

GCF(34,4604) x common factors =2 x 1 = 2

LCM(34,4604) = ( 34 × 4604 ) / 2

LCM(34,4604) = 156536 / 2

LCM(34,4604) = 78268


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 196/34, 146/4604

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 196/34, 146/4604?

Answer: GCF of Numerators as per given numbers 196/34, 146/4604 is

GCF of Numerators i.e. for 196,146 is 2

LCM of denominators i.e. for 34,4604 is 78268.

Thus, GCF of Fractions is 2/78268.Finally, GCF of Fractions for 196/34, 146/4604 is 2/78268.