Greatest Common Factor of 400/796, 6146/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/796, 6146/598

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 400/796,6146/598

Given fractions are 400/796,6146/598

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 400,6146

Greatest Common Factor of Numerators i.e. GCF of 400,6146 is 2 .

LCM of Denominators means LCM of 796,598 as per the given fractions.

LCM of 796,598 is 238004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,6146

GCF of Fractions 400/796,6146/598 is 2/238004

2 400, 6146
200, 3073

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

Greatest Common Factor of 400,6146 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,6146 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 400,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 400,6146 is 2.

Lets's calculate LCM of 796,598

2 796, 598
398, 299

∴ So the LCM of the given numbers is 2 x 398 x 299 = 238004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238004

Therefore, the GCF of Fractions 400/796,6146/598 is 2/238004

Least Common Multiple of 796,598 with GCF Formula

Least Common Multiple of 796,598 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 796,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,598) = 2

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

GCF(796,598) x common factors =2 x 1 = 2

LCM(796,598) = ( 796 × 598 ) / 2

LCM(796,598) = 476008 / 2

LCM(796,598) = 238004


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 400/796, 6146/598

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 400/796, 6146/598?

Answer: GCF of Numerators as per given numbers 400/796, 6146/598 is

GCF of Numerators i.e. for 400,6146 is 2

LCM of denominators i.e. for 796,598 is 238004.

Thus, GCF of Fractions is 2/238004.Finally, GCF of Fractions for 400/796, 6146/598 is 2/238004.