Greatest Common Factor of 2998/274, 6768/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2998/274, 6768/894

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 2998/274,6768/894

Given fractions are 2998/274,6768/894

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 2998,6768

Greatest Common Factor of Numerators i.e. GCF of 2998,6768 is 2 .

LCM of Denominators means LCM of 274,894 as per the given fractions.

LCM of 274,894 is 122478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2998,6768

GCF of Fractions 2998/274,6768/894 is 2/122478

2 2998, 6768
1499, 3384

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

Greatest Common Factor of 2998,6768 By Matching Biggest Common Factor Method

Greatest Common Factor of 2998,6768 By Matching Biggest Common Factor Method

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Greatest Common Factor

We found the factors 2998,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,6768 is 2.

Lets's calculate LCM of 274,894

2 274, 894
137, 447

∴ So the LCM of the given numbers is 2 x 137 x 447 = 122478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122478

Therefore, the GCF of Fractions 2998/274,6768/894 is 2/122478

Least Common Multiple of 274,894 with GCF Formula

Least Common Multiple of 274,894 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 274,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,894) = 2

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

GCF(274,894) x common factors =2 x 1 = 2

LCM(274,894) = ( 274 × 894 ) / 2

LCM(274,894) = 244956 / 2

LCM(274,894) = 122478


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 2998/274, 6768/894

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 2998/274, 6768/894?

Answer: GCF of Numerators as per given numbers 2998/274, 6768/894 is

GCF of Numerators i.e. for 2998,6768 is 2

LCM of denominators i.e. for 274,894 is 122478.

Thus, GCF of Fractions is 2/122478.Finally, GCF of Fractions for 2998/274, 6768/894 is 2/122478.