Greatest Common Factor of 6/76, 41/75, 35/300, 439/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/76, 41/75, 35/300, 439/830

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 6/76,41/75,35/300,439/830

Given fractions are 6/76,41/75,35/300,439/830

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 6,41,35,439

Greatest Common Factor of Numerators i.e. GCF of 6,41,35,439 is 1 .

LCM of Denominators means LCM of 76,75,300,830 as per the given fractions.

LCM of 76,75,300,830 is 473100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,41,35,439

GCF of Fractions 6/76,41/75,35/300,439/830 is 1/473100

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

Greatest Common Factor of 6,41,35,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,41,35,439 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 6,41,35,439 . The biggest common factor number is the GCF number.
So the greatest common factor 6,41,35,439 is 1.

Lets's calculate LCM of 76,75,300,830

2 76, 75, 300, 830
2 38, 75, 150, 415
3 19, 75, 75, 415
5 19, 25, 25, 415
5 19, 5, 5, 83
19, 1, 1, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 19 x 1 x 1 x 83 = 473100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473100

Therefore, the GCF of Fractions 6/76,41/75,35/300,439/830 is 1/473100

Least Common Multiple of 76,75,300,830 with GCF Formula

Least Common Multiple of 76,75,300,830 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 76,75,300,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,75,300,830) = 1

common factors(in case of two or more numbers have common factors) = 3000

GCF(76,75,300,830) x common factors =1 x 3000 = 3000

LCM(76,75,300,830) = ( 76 × 75 × 300 × 830 ) / 3000

LCM(76,75,300,830) = 1419300000 / 3000

LCM(76,75,300,830) = 473100


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 6/76, 41/75, 35/300, 439/830

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 6/76, 41/75, 35/300, 439/830?

Answer: GCF of Numerators as per given numbers 6/76, 41/75, 35/300, 439/830 is

GCF of Numerators i.e. for 6,41,35,439 is 1

LCM of denominators i.e. for 76,75,300,830 is 473100.

Thus, GCF of Fractions is 1/473100.Finally, GCF of Fractions for 6/76, 41/75, 35/300, 439/830 is 1/473100.