Greatest Common Factor of 414/42, 704/89, 923/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/42, 704/89, 923/192

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 414/42,704/89,923/192

Given fractions are 414/42,704/89,923/192

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 414,704,923

Greatest Common Factor of Numerators i.e. GCF of 414,704,923 is 1 .

LCM of Denominators means LCM of 42,89,192 as per the given fractions.

LCM of 42,89,192 is 119616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,704,923

GCF of Fractions 414/42,704/89,923/192 is 1/119616

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

Greatest Common Factor of 414,704,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,704,923 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 923

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

1,13,71,923

Greatest Common Factor

We found the factors 414,704,923 . The biggest common factor number is the GCF number.
So the greatest common factor 414,704,923 is 1.

Lets's calculate LCM of 42,89,192

2 42, 89, 192
3 21, 89, 96
7, 89, 32

∴ So the LCM of the given numbers is 2 x 3 x 7 x 89 x 32 = 119616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119616

Therefore, the GCF of Fractions 414/42,704/89,923/192 is 1/119616

Least Common Multiple of 42,89,192 with GCF Formula

Least Common Multiple of 42,89,192 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 42,89,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,89,192) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,89,192) x common factors =1 x 6 = 6

LCM(42,89,192) = ( 42 × 89 × 192 ) / 6

LCM(42,89,192) = 717696 / 6

LCM(42,89,192) = 119616


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 414/42, 704/89, 923/192

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 414/42, 704/89, 923/192?

Answer: GCF of Numerators as per given numbers 414/42, 704/89, 923/192 is

GCF of Numerators i.e. for 414,704,923 is 1

LCM of denominators i.e. for 42,89,192 is 119616.

Thus, GCF of Fractions is 1/119616.Finally, GCF of Fractions for 414/42, 704/89, 923/192 is 1/119616.