Greatest Common Factor of 5778/75, 9042/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5778/75, 9042/787

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 5778/75,9042/787

Given fractions are 5778/75,9042/787

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 5778,9042

Greatest Common Factor of Numerators i.e. GCF of 5778,9042 is 6 .

LCM of Denominators means LCM of 75,787 as per the given fractions.

LCM of 75,787 is 59025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5778,9042

GCF of Fractions 5778/75,9042/787 is 6/59025

2 5778, 9042
3 2889, 4521
963, 1507

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5778,9042 By Matching Biggest Common Factor Method

Greatest Common Factor of 5778,9042 By Matching Biggest Common Factor Method

Factors of 5778

List of positive integer factors of 5778 that divides 5778 without a remainder.

1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Greatest Common Factor

We found the factors 5778,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,9042 is 6.

Lets's calculate LCM of 75,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 59025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/59025

Therefore, the GCF of Fractions 5778/75,9042/787 is 6/59025

Least Common Multiple of 75,787 with GCF Formula

Least Common Multiple of 75,787 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 75,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,787) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(75,787) x common factors =1 x 1 = 1

LCM(75,787) = ( 75 × 787 ) / 1

LCM(75,787) = 59025 / 1

LCM(75,787) = 59025


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 5778/75, 9042/787

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 5778/75, 9042/787?

Answer: GCF of Numerators as per given numbers 5778/75, 9042/787 is

GCF of Numerators i.e. for 5778,9042 is 6

LCM of denominators i.e. for 75,787 is 59025.

Thus, GCF of Fractions is 6/59025.Finally, GCF of Fractions for 5778/75, 9042/787 is 6/59025.