Greatest Common Factor of 923/25, 182/10, 429/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/25, 182/10, 429/78

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 923/25,182/10,429/78

Given fractions are 923/25,182/10,429/78

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 923,182,429

Greatest Common Factor of Numerators i.e. GCF of 923,182,429 is 13 .

LCM of Denominators means LCM of 25,10,78 as per the given fractions.

LCM of 25,10,78 is 1950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,182,429

GCF of Fractions 923/25,182/10,429/78 is 13/1950

13 923, 182, 429
71, 14, 33

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

Greatest Common Factor of 923,182,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,182,429 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 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 923,182,429 . The biggest common factor number is the GCF number.
So the greatest common factor 923,182,429 is 13.

Lets's calculate LCM of 25,10,78

2 25, 10, 78
5 25, 5, 39
1, 5, 39

∴ So the LCM of the given numbers is 2 x 5 x 1 x 5 x 39 = 1950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1950

Therefore, the GCF of Fractions 923/25,182/10,429/78 is 13/1950

Least Common Multiple of 25,10,78 with GCF Formula

Least Common Multiple of 25,10,78 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 25,10,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,10,78) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(25,10,78) x common factors =1 x 10 = 10

LCM(25,10,78) = ( 25 × 10 × 78 ) / 10

LCM(25,10,78) = 19500 / 10

LCM(25,10,78) = 1950


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 923/25, 182/10, 429/78

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 923/25, 182/10, 429/78?

Answer: GCF of Numerators as per given numbers 923/25, 182/10, 429/78 is

GCF of Numerators i.e. for 923,182,429 is 13

LCM of denominators i.e. for 25,10,78 is 1950.

Thus, GCF of Fractions is 13/1950.Finally, GCF of Fractions for 923/25, 182/10, 429/78 is 13/1950.