Greatest Common Factor of 2067/710, 8823/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2067/710, 8823/565

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 2067/710,8823/565

Given fractions are 2067/710,8823/565

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 2067,8823

Greatest Common Factor of Numerators i.e. GCF of 2067,8823 is 3 .

LCM of Denominators means LCM of 710,565 as per the given fractions.

LCM of 710,565 is 80230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2067,8823

GCF of Fractions 2067/710,8823/565 is 3/80230

3 2067, 8823
689, 2941

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

Greatest Common Factor of 2067,8823 By Matching Biggest Common Factor Method

Greatest Common Factor of 2067,8823 By Matching Biggest Common Factor Method

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Greatest Common Factor

We found the factors 2067,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,8823 is 3.

Lets's calculate LCM of 710,565

5 710, 565
142, 113

∴ So the LCM of the given numbers is 5 x 142 x 113 = 80230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80230

Therefore, the GCF of Fractions 2067/710,8823/565 is 3/80230

Least Common Multiple of 710,565 with GCF Formula

Least Common Multiple of 710,565 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 710,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,565) = 5

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

GCF(710,565) x common factors =5 x 1 = 5

LCM(710,565) = ( 710 × 565 ) / 5

LCM(710,565) = 401150 / 5

LCM(710,565) = 80230


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 2067/710, 8823/565

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 2067/710, 8823/565?

Answer: GCF of Numerators as per given numbers 2067/710, 8823/565 is

GCF of Numerators i.e. for 2067,8823 is 3

LCM of denominators i.e. for 710,565 is 80230.

Thus, GCF of Fractions is 3/80230.Finally, GCF of Fractions for 2067/710, 8823/565 is 3/80230.