Greatest Common Factor of 2782/730, 3042/8388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2782/730, 3042/8388

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 2782/730,3042/8388

Given fractions are 2782/730,3042/8388

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 2782,3042

Greatest Common Factor of Numerators i.e. GCF of 2782,3042 is 26 .

LCM of Denominators means LCM of 730,8388 as per the given fractions.

LCM of 730,8388 is 3061620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2782,3042

GCF of Fractions 2782/730,3042/8388 is 26/3061620

2 2782, 3042
13 1391, 1521
107, 117

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 2782,3042 By Matching Biggest Common Factor Method

Greatest Common Factor of 2782,3042 By Matching Biggest Common Factor Method

Factors of 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1,2,13,26,107,214,1391,2782

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

Greatest Common Factor

We found the factors 2782,3042 . The biggest common factor number is the GCF number.
So the greatest common factor 2782,3042 is 26.

Lets's calculate LCM of 730,8388

2 730, 8388
365, 4194

∴ So the LCM of the given numbers is 2 x 365 x 4194 = 3061620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3061620

Therefore, the GCF of Fractions 2782/730,3042/8388 is 26/3061620

Least Common Multiple of 730,8388 with GCF Formula

Least Common Multiple of 730,8388 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 730,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,8388) = 2

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

GCF(730,8388) x common factors =2 x 1 = 2

LCM(730,8388) = ( 730 × 8388 ) / 2

LCM(730,8388) = 6123240 / 2

LCM(730,8388) = 3061620


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 2782/730, 3042/8388

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 2782/730, 3042/8388?

Answer: GCF of Numerators as per given numbers 2782/730, 3042/8388 is

GCF of Numerators i.e. for 2782,3042 is 26

LCM of denominators i.e. for 730,8388 is 3061620.

Thus, GCF of Fractions is 26/3061620.Finally, GCF of Fractions for 2782/730, 3042/8388 is 26/3061620.