Greatest Common Factor of 3042/714, 8789/8738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3042/714, 8789/8738

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 3042/714,8789/8738

Given fractions are 3042/714,8789/8738

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 3042,8789

Greatest Common Factor of Numerators i.e. GCF of 3042,8789 is 1 .

LCM of Denominators means LCM of 714,8738 as per the given fractions.

LCM of 714,8738 is 183498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3042,8789

GCF of Fractions 3042/714,8789/8738 is 1/183498

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

Greatest Common Factor of 3042,8789 By Matching Biggest Common Factor Method

Greatest Common Factor of 3042,8789 By Matching Biggest Common Factor Method

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 3042,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 3042,8789 is 1.

Lets's calculate LCM of 714,8738

2 714, 8738
17 357, 4369
21, 257

∴ So the LCM of the given numbers is 2 x 17 x 21 x 257 = 183498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183498

Therefore, the GCF of Fractions 3042/714,8789/8738 is 1/183498

Least Common Multiple of 714,8738 with GCF Formula

Least Common Multiple of 714,8738 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 714,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,8738) = 34

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

GCF(714,8738) x common factors =34 x 1 = 34

LCM(714,8738) = ( 714 × 8738 ) / 34

LCM(714,8738) = 6238932 / 34

LCM(714,8738) = 183498


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 3042/714, 8789/8738

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 3042/714, 8789/8738?

Answer: GCF of Numerators as per given numbers 3042/714, 8789/8738 is

GCF of Numerators i.e. for 3042,8789 is 1

LCM of denominators i.e. for 714,8738 is 183498.

Thus, GCF of Fractions is 1/183498.Finally, GCF of Fractions for 3042/714, 8789/8738 is 1/183498.