Greatest Common Factor of 2822/908, 7005/2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2822/908, 7005/2998

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 2822/908,7005/2998

Given fractions are 2822/908,7005/2998

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 2822,7005

Greatest Common Factor of Numerators i.e. GCF of 2822,7005 is 1 .

LCM of Denominators means LCM of 908,2998 as per the given fractions.

LCM of 908,2998 is 1361092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2822,7005

GCF of Fractions 2822/908,7005/2998 is 1/1361092

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

Greatest Common Factor of 2822,7005 By Matching Biggest Common Factor Method

Greatest Common Factor of 2822,7005 By Matching Biggest Common Factor Method

Factors of 2822

List of positive integer factors of 2822 that divides 2822 without a remainder.

1,2,17,34,83,166,1411,2822

Factors of 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1,3,5,15,467,1401,2335,7005

Greatest Common Factor

We found the factors 2822,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 2822,7005 is 1.

Lets's calculate LCM of 908,2998

2 908, 2998
454, 1499

∴ So the LCM of the given numbers is 2 x 454 x 1499 = 1361092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361092

Therefore, the GCF of Fractions 2822/908,7005/2998 is 1/1361092

Least Common Multiple of 908,2998 with GCF Formula

Least Common Multiple of 908,2998 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 908,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,2998) = 2

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

GCF(908,2998) x common factors =2 x 1 = 2

LCM(908,2998) = ( 908 × 2998 ) / 2

LCM(908,2998) = 2722184 / 2

LCM(908,2998) = 1361092


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 2822/908, 7005/2998

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 2822/908, 7005/2998?

Answer: GCF of Numerators as per given numbers 2822/908, 7005/2998 is

GCF of Numerators i.e. for 2822,7005 is 1

LCM of denominators i.e. for 908,2998 is 1361092.

Thus, GCF of Fractions is 1/1361092.Finally, GCF of Fractions for 2822/908, 7005/2998 is 1/1361092.