Greatest Common Factor of 600/26, 9824/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/26, 9824/814

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 600/26,9824/814

Given fractions are 600/26,9824/814

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 600,9824

Greatest Common Factor of Numerators i.e. GCF of 600,9824 is 8 .

LCM of Denominators means LCM of 26,814 as per the given fractions.

LCM of 26,814 is 10582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,9824

GCF of Fractions 600/26,9824/814 is 8/10582

2 600, 9824
2 300, 4912
2 150, 2456
75, 1228

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 600,9824 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,9824 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 9824

List of positive integer factors of 9824 that divides 9824 without a remainder.

1,2,4,8,16,32,307,614,1228,2456,4912,9824

Greatest Common Factor

We found the factors 600,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 600,9824 is 8.

Lets's calculate LCM of 26,814

2 26, 814
13, 407

∴ So the LCM of the given numbers is 2 x 13 x 407 = 10582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/10582

Therefore, the GCF of Fractions 600/26,9824/814 is 8/10582

Least Common Multiple of 26,814 with GCF Formula

Least Common Multiple of 26,814 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 26,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,814) = 2

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

GCF(26,814) x common factors =2 x 1 = 2

LCM(26,814) = ( 26 × 814 ) / 2

LCM(26,814) = 21164 / 2

LCM(26,814) = 10582


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 600/26, 9824/814

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 600/26, 9824/814?

Answer: GCF of Numerators as per given numbers 600/26, 9824/814 is

GCF of Numerators i.e. for 600,9824 is 8

LCM of denominators i.e. for 26,814 is 10582.

Thus, GCF of Fractions is 8/10582.Finally, GCF of Fractions for 600/26, 9824/814 is 8/10582.