Greatest Common Factor of 923/82, 6474/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/82, 6474/283

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 923/82,6474/283

Given fractions are 923/82,6474/283

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 923,6474

Greatest Common Factor of Numerators i.e. GCF of 923,6474 is 13 .

LCM of Denominators means LCM of 82,283 as per the given fractions.

LCM of 82,283 is 23206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,6474

GCF of Fractions 923/82,6474/283 is 13/23206

13 923, 6474
71, 498

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 923,6474 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,6474 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 6474

List of positive integer factors of 6474 that divides 6474 without a remainder.

1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474

Greatest Common Factor

We found the factors 923,6474 . The biggest common factor number is the GCF number.
So the greatest common factor 923,6474 is 13.

Lets's calculate LCM of 82,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 23206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/23206

Therefore, the GCF of Fractions 923/82,6474/283 is 13/23206

Least Common Multiple of 82,283 with GCF Formula

Least Common Multiple of 82,283 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 82,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,283) = 1

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

GCF(82,283) x common factors =1 x 1 = 1

LCM(82,283) = ( 82 × 283 ) / 1

LCM(82,283) = 23206 / 1

LCM(82,283) = 23206


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 923/82, 6474/283

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 923/82, 6474/283?

Answer: GCF of Numerators as per given numbers 923/82, 6474/283 is

GCF of Numerators i.e. for 923,6474 is 13

LCM of denominators i.e. for 82,283 is 23206.

Thus, GCF of Fractions is 13/23206.Finally, GCF of Fractions for 923/82, 6474/283 is 13/23206.