Greatest Common Factor of 3/19, 67/40, 42/704, 826/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/19, 67/40, 42/704, 826/741

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 3/19,67/40,42/704,826/741

Given fractions are 3/19,67/40,42/704,826/741

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 3,67,42,826

Greatest Common Factor of Numerators i.e. GCF of 3,67,42,826 is 1 .

LCM of Denominators means LCM of 19,40,704,741 as per the given fractions.

LCM of 19,40,704,741 is 2608320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,67,42,826

GCF of Fractions 3/19,67/40,42/704,826/741 is 1/2608320

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

Greatest Common Factor of 3,67,42,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,67,42,826 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 3,67,42,826 . The biggest common factor number is the GCF number.
So the greatest common factor 3,67,42,826 is 1.

Lets's calculate LCM of 19,40,704,741

2 19, 40, 704, 741
2 19, 20, 352, 741
2 19, 10, 176, 741
19 19, 5, 88, 741
1, 5, 88, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1 x 5 x 88 x 39 = 2608320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608320

Therefore, the GCF of Fractions 3/19,67/40,42/704,826/741 is 1/2608320

Least Common Multiple of 19,40,704,741 with GCF Formula

Least Common Multiple of 19,40,704,741 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 19,40,704,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,40,704,741) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(19,40,704,741) x common factors =1 x 152 = 152

LCM(19,40,704,741) = ( 19 × 40 × 704 × 741 ) / 152

LCM(19,40,704,741) = 396464640 / 152

LCM(19,40,704,741) = 2608320


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 3/19, 67/40, 42/704, 826/741

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 3/19, 67/40, 42/704, 826/741?

Answer: GCF of Numerators as per given numbers 3/19, 67/40, 42/704, 826/741 is

GCF of Numerators i.e. for 3,67,42,826 is 1

LCM of denominators i.e. for 19,40,704,741 is 2608320.

Thus, GCF of Fractions is 1/2608320.Finally, GCF of Fractions for 3/19, 67/40, 42/704, 826/741 is 1/2608320.