Greatest Common Factor of 4754/856, 8006/2812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4754/856, 8006/2812

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 4754/856,8006/2812

Given fractions are 4754/856,8006/2812

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 4754,8006

Greatest Common Factor of Numerators i.e. GCF of 4754,8006 is 2 .

LCM of Denominators means LCM of 856,2812 as per the given fractions.

LCM of 856,2812 is 601768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4754,8006

GCF of Fractions 4754/856,8006/2812 is 2/601768

2 4754, 8006
2377, 4003

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

Greatest Common Factor of 4754,8006 By Matching Biggest Common Factor Method

Greatest Common Factor of 4754,8006 By Matching Biggest Common Factor Method

Factors of 4754

List of positive integer factors of 4754 that divides 4754 without a remainder.

1,2,2377,4754

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Greatest Common Factor

We found the factors 4754,8006 . The biggest common factor number is the GCF number.
So the greatest common factor 4754,8006 is 2.

Lets's calculate LCM of 856,2812

2 856, 2812
2 428, 1406
214, 703

∴ So the LCM of the given numbers is 2 x 2 x 214 x 703 = 601768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/601768

Therefore, the GCF of Fractions 4754/856,8006/2812 is 2/601768

Least Common Multiple of 856,2812 with GCF Formula

Least Common Multiple of 856,2812 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 856,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,2812) = 4

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

GCF(856,2812) x common factors =4 x 1 = 4

LCM(856,2812) = ( 856 × 2812 ) / 4

LCM(856,2812) = 2407072 / 4

LCM(856,2812) = 601768


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 4754/856, 8006/2812

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 4754/856, 8006/2812?

Answer: GCF of Numerators as per given numbers 4754/856, 8006/2812 is

GCF of Numerators i.e. for 4754,8006 is 2

LCM of denominators i.e. for 856,2812 is 601768.

Thus, GCF of Fractions is 2/601768.Finally, GCF of Fractions for 4754/856, 8006/2812 is 2/601768.