Greatest Common Factor of 824/24, 676/4770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/24, 676/4770

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 824/24,676/4770

Given fractions are 824/24,676/4770

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 824,676

Greatest Common Factor of Numerators i.e. GCF of 824,676 is 4 .

LCM of Denominators means LCM of 24,4770 as per the given fractions.

LCM of 24,4770 is 19080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,676

GCF of Fractions 824/24,676/4770 is 4/19080

2 824, 676
2 412, 338
206, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 824,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,676 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 824,676 . The biggest common factor number is the GCF number.
So the greatest common factor 824,676 is 4.

Lets's calculate LCM of 24,4770

2 24, 4770
3 12, 2385
4, 795

∴ So the LCM of the given numbers is 2 x 3 x 4 x 795 = 19080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19080

Therefore, the GCF of Fractions 824/24,676/4770 is 4/19080

Least Common Multiple of 24,4770 with GCF Formula

Least Common Multiple of 24,4770 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 24,4770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,4770) = 6

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

GCF(24,4770) x common factors =6 x 1 = 6

LCM(24,4770) = ( 24 × 4770 ) / 6

LCM(24,4770) = 114480 / 6

LCM(24,4770) = 19080


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 824/24, 676/4770

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 824/24, 676/4770?

Answer: GCF of Numerators as per given numbers 824/24, 676/4770 is

GCF of Numerators i.e. for 824,676 is 4

LCM of denominators i.e. for 24,4770 is 19080.

Thus, GCF of Fractions is 4/19080.Finally, GCF of Fractions for 824/24, 676/4770 is 4/19080.