Greatest Common Factor of 5638/750, 2786/8234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5638/750, 2786/8234

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 5638/750,2786/8234

Given fractions are 5638/750,2786/8234

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 5638,2786

Greatest Common Factor of Numerators i.e. GCF of 5638,2786 is 2 .

LCM of Denominators means LCM of 750,8234 as per the given fractions.

LCM of 750,8234 is 3087750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5638,2786

GCF of Fractions 5638/750,2786/8234 is 2/3087750

2 5638, 2786
2819, 1393

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5638,2786 By Matching Biggest Common Factor Method

Greatest Common Factor of 5638,2786 By Matching Biggest Common Factor Method

Factors of 5638

List of positive integer factors of 5638 that divides 5638 without a remainder.

1,2,2819,5638

Factors of 2786

List of positive integer factors of 2786 that divides 2786 without a remainder.

1,2,7,14,199,398,1393,2786

Greatest Common Factor

We found the factors 5638,2786 . The biggest common factor number is the GCF number.
So the greatest common factor 5638,2786 is 2.

Lets's calculate LCM of 750,8234

2 750, 8234
375, 4117

∴ So the LCM of the given numbers is 2 x 375 x 4117 = 3087750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3087750

Therefore, the GCF of Fractions 5638/750,2786/8234 is 2/3087750

Least Common Multiple of 750,8234 with GCF Formula

Least Common Multiple of 750,8234 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 750,8234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,8234) = 2

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

GCF(750,8234) x common factors =2 x 1 = 2

LCM(750,8234) = ( 750 × 8234 ) / 2

LCM(750,8234) = 6175500 / 2

LCM(750,8234) = 3087750


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 5638/750, 2786/8234

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 5638/750, 2786/8234?

Answer: GCF of Numerators as per given numbers 5638/750, 2786/8234 is

GCF of Numerators i.e. for 5638,2786 is 2

LCM of denominators i.e. for 750,8234 is 3087750.

Thus, GCF of Fractions is 2/3087750.Finally, GCF of Fractions for 5638/750, 2786/8234 is 2/3087750.