Greatest Common Factor of 8894/614, 3754/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8894/614, 3754/198

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 8894/614,3754/198

Given fractions are 8894/614,3754/198

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 8894,3754

Greatest Common Factor of Numerators i.e. GCF of 8894,3754 is 2 .

LCM of Denominators means LCM of 614,198 as per the given fractions.

LCM of 614,198 is 60786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8894,3754

GCF of Fractions 8894/614,3754/198 is 2/60786

2 8894, 3754
4447, 1877

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

Greatest Common Factor of 8894,3754 By Matching Biggest Common Factor Method

Greatest Common Factor of 8894,3754 By Matching Biggest Common Factor Method

Factors of 8894

List of positive integer factors of 8894 that divides 8894 without a remainder.

1,2,4447,8894

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Greatest Common Factor

We found the factors 8894,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 8894,3754 is 2.

Lets's calculate LCM of 614,198

2 614, 198
307, 99

∴ So the LCM of the given numbers is 2 x 307 x 99 = 60786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60786

Therefore, the GCF of Fractions 8894/614,3754/198 is 2/60786

Least Common Multiple of 614,198 with GCF Formula

Least Common Multiple of 614,198 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 614,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,198) = 2

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

GCF(614,198) x common factors =2 x 1 = 2

LCM(614,198) = ( 614 × 198 ) / 2

LCM(614,198) = 121572 / 2

LCM(614,198) = 60786


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 8894/614, 3754/198

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 8894/614, 3754/198?

Answer: GCF of Numerators as per given numbers 8894/614, 3754/198 is

GCF of Numerators i.e. for 8894,3754 is 2

LCM of denominators i.e. for 614,198 is 60786.

Thus, GCF of Fractions is 2/60786.Finally, GCF of Fractions for 8894/614, 3754/198 is 2/60786.