Greatest Common Factor of 424/400, 835/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/400, 835/658

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 424/400,835/658

Given fractions are 424/400,835/658

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 424,835

Greatest Common Factor of Numerators i.e. GCF of 424,835 is 1 .

LCM of Denominators means LCM of 400,658 as per the given fractions.

LCM of 400,658 is 131600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,835

GCF of Fractions 424/400,835/658 is 1/131600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 424,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,835 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 424,835 . The biggest common factor number is the GCF number.
So the greatest common factor 424,835 is 1.

Lets's calculate LCM of 400,658

2 400, 658
200, 329

∴ So the LCM of the given numbers is 2 x 200 x 329 = 131600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131600

Therefore, the GCF of Fractions 424/400,835/658 is 1/131600

Least Common Multiple of 400,658 with GCF Formula

Least Common Multiple of 400,658 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 400,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,658) = 2

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

GCF(400,658) x common factors =2 x 1 = 2

LCM(400,658) = ( 400 × 658 ) / 2

LCM(400,658) = 263200 / 2

LCM(400,658) = 131600


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 424/400, 835/658

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 424/400, 835/658?

Answer: GCF of Numerators as per given numbers 424/400, 835/658 is

GCF of Numerators i.e. for 424,835 is 1

LCM of denominators i.e. for 400,658 is 131600.

Thus, GCF of Fractions is 1/131600.Finally, GCF of Fractions for 424/400, 835/658 is 1/131600.