Greatest Common Factor of 2812/693, 4577/4399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2812/693, 4577/4399

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 2812/693,4577/4399

Given fractions are 2812/693,4577/4399

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 2812,4577

Greatest Common Factor of Numerators i.e. GCF of 2812,4577 is 1 .

LCM of Denominators means LCM of 693,4399 as per the given fractions.

LCM of 693,4399 is 3048507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2812,4577

GCF of Fractions 2812/693,4577/4399 is 1/3048507

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

Greatest Common Factor of 2812,4577 By Matching Biggest Common Factor Method

Greatest Common Factor of 2812,4577 By Matching Biggest Common Factor Method

Factors of 2812

List of positive integer factors of 2812 that divides 2812 without a remainder.

1,2,4,19,37,38,74,76,148,703,1406,2812

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1,23,199,4577

Greatest Common Factor

We found the factors 2812,4577 . The biggest common factor number is the GCF number.
So the greatest common factor 2812,4577 is 1.


Lets's calculate LCM of 693,4399

Given numbers has no common factors except 1. So, there LCM is their product i.e 3048507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3048507

Therefore, the GCF of Fractions 2812/693,4577/4399 is 1/3048507

Least Common Multiple of 693,4399 with GCF Formula

Least Common Multiple of 693,4399 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 693,4399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,4399) = 1

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

GCF(693,4399) x common factors =1 x 1 = 1

LCM(693,4399) = ( 693 × 4399 ) / 1

LCM(693,4399) = 3048507 / 1

LCM(693,4399) = 3048507


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2812/693, 4577/4399

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 2812/693, 4577/4399?

Answer: GCF of Numerators as per given numbers 2812/693, 4577/4399 is

GCF of Numerators i.e. for 2812,4577 is 1

LCM of denominators i.e. for 693,4399 is 3048507.

Thus, GCF of Fractions is 1/3048507.Finally, GCF of Fractions for 2812/693, 4577/4399 is 1/3048507.