Greatest Common Factor of 3/75, 84/13, 48/550, 759/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/75, 84/13, 48/550, 759/429

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 3/75,84/13,48/550,759/429

Given fractions are 3/75,84/13,48/550,759/429

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 3,84,48,759

Greatest Common Factor of Numerators i.e. GCF of 3,84,48,759 is 3 .

LCM of Denominators means LCM of 75,13,550,429 as per the given fractions.

LCM of 75,13,550,429 is 21450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,84,48,759

GCF of Fractions 3/75,84/13,48/550,759/429 is 3/21450

3 3, 84, 48, 759
1, 28, 16, 253

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3,84,48,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,84,48,759 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 3,84,48,759 . The biggest common factor number is the GCF number.
So the greatest common factor 3,84,48,759 is 3.

Lets's calculate LCM of 75,13,550,429

3 75, 13, 550, 429
5 25, 13, 550, 143
5 5, 13, 110, 143
11 1, 13, 22, 143
13 1, 13, 2, 13
1, 1, 2, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 11 x 13 x 1 x 1 x 2 x 1 = 21450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21450

Therefore, the GCF of Fractions 3/75,84/13,48/550,759/429 is 3/21450

Least Common Multiple of 75,13,550,429 with GCF Formula

Least Common Multiple of 75,13,550,429 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 75,13,550,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,13,550,429) = 1

common factors(in case of two or more numbers have common factors) = 10725

GCF(75,13,550,429) x common factors =1 x 10725 = 10725

LCM(75,13,550,429) = ( 75 × 13 × 550 × 429 ) / 10725

LCM(75,13,550,429) = 230051250 / 10725

LCM(75,13,550,429) = 21450


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 3/75, 84/13, 48/550, 759/429

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 3/75, 84/13, 48/550, 759/429?

Answer: GCF of Numerators as per given numbers 3/75, 84/13, 48/550, 759/429 is

GCF of Numerators i.e. for 3,84,48,759 is 3

LCM of denominators i.e. for 75,13,550,429 is 21450.

Thus, GCF of Fractions is 3/21450.Finally, GCF of Fractions for 3/75, 84/13, 48/550, 759/429 is 3/21450.