Greatest Common Factor of 736/76, 904/40, 421/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/76, 904/40, 421/19

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 736/76,904/40,421/19

Given fractions are 736/76,904/40,421/19

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 736,904,421

Greatest Common Factor of Numerators i.e. GCF of 736,904,421 is 1 .

LCM of Denominators means LCM of 76,40,19 as per the given fractions.

LCM of 76,40,19 is 760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,904,421

GCF of Fractions 736/76,904/40,421/19 is 1/760

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

Greatest Common Factor of 736,904,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,904,421 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 736,904,421 . The biggest common factor number is the GCF number.
So the greatest common factor 736,904,421 is 1.

Lets's calculate LCM of 76,40,19

2 76, 40, 19
2 38, 20, 19
19 19, 10, 19
1, 10, 1

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 10 x 1 = 760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760

Therefore, the GCF of Fractions 736/76,904/40,421/19 is 1/760

Least Common Multiple of 76,40,19 with GCF Formula

Least Common Multiple of 76,40,19 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 76,40,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,40,19) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(76,40,19) x common factors =1 x 76 = 76

LCM(76,40,19) = ( 76 × 40 × 19 ) / 76

LCM(76,40,19) = 57760 / 76

LCM(76,40,19) = 760


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 736/76, 904/40, 421/19

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 736/76, 904/40, 421/19?

Answer: GCF of Numerators as per given numbers 736/76, 904/40, 421/19 is

GCF of Numerators i.e. for 736,904,421 is 1

LCM of denominators i.e. for 76,40,19 is 760.

Thus, GCF of Fractions is 1/760.Finally, GCF of Fractions for 736/76, 904/40, 421/19 is 1/760.