Greatest Common Factor of 123/41, 718/26, 437/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/41, 718/26, 437/984

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 123/41,718/26,437/984

Given fractions are 123/41,718/26,437/984

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 123,718,437

Greatest Common Factor of Numerators i.e. GCF of 123,718,437 is 1 .

LCM of Denominators means LCM of 41,26,984 as per the given fractions.

LCM of 41,26,984 is 12792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,718,437

GCF of Fractions 123/41,718/26,437/984 is 1/12792

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

Greatest Common Factor of 123,718,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,718,437 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 123,718,437 . The biggest common factor number is the GCF number.
So the greatest common factor 123,718,437 is 1.

Lets's calculate LCM of 41,26,984

2 41, 26, 984
41 41, 13, 492
1, 13, 12

∴ So the LCM of the given numbers is 2 x 41 x 1 x 13 x 12 = 12792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12792

Therefore, the GCF of Fractions 123/41,718/26,437/984 is 1/12792

Least Common Multiple of 41,26,984 with GCF Formula

Least Common Multiple of 41,26,984 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 41,26,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,26,984) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(41,26,984) x common factors =1 x 82 = 82

LCM(41,26,984) = ( 41 × 26 × 984 ) / 82

LCM(41,26,984) = 1048944 / 82

LCM(41,26,984) = 12792


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 123/41, 718/26, 437/984

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 123/41, 718/26, 437/984?

Answer: GCF of Numerators as per given numbers 123/41, 718/26, 437/984 is

GCF of Numerators i.e. for 123,718,437 is 1

LCM of denominators i.e. for 41,26,984 is 12792.

Thus, GCF of Fractions is 1/12792.Finally, GCF of Fractions for 123/41, 718/26, 437/984 is 1/12792.