Greatest Common Factor of 8512/194, 3034/8738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8512/194, 3034/8738

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 8512/194,3034/8738

Given fractions are 8512/194,3034/8738

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 8512,3034

Greatest Common Factor of Numerators i.e. GCF of 8512,3034 is 2 .

LCM of Denominators means LCM of 194,8738 as per the given fractions.

LCM of 194,8738 is 847586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8512,3034

GCF of Fractions 8512/194,3034/8738 is 2/847586

2 8512, 3034
4256, 1517

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

Greatest Common Factor of 8512,3034 By Matching Biggest Common Factor Method

Greatest Common Factor of 8512,3034 By Matching Biggest Common Factor Method

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors 8512,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 8512,3034 is 2.

Lets's calculate LCM of 194,8738

2 194, 8738
97, 4369

∴ So the LCM of the given numbers is 2 x 97 x 4369 = 847586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/847586

Therefore, the GCF of Fractions 8512/194,3034/8738 is 2/847586

Least Common Multiple of 194,8738 with GCF Formula

Least Common Multiple of 194,8738 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 194,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,8738) = 2

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

GCF(194,8738) x common factors =2 x 1 = 2

LCM(194,8738) = ( 194 × 8738 ) / 2

LCM(194,8738) = 1695172 / 2

LCM(194,8738) = 847586


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 8512/194, 3034/8738

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 8512/194, 3034/8738?

Answer: GCF of Numerators as per given numbers 8512/194, 3034/8738 is

GCF of Numerators i.e. for 8512,3034 is 2

LCM of denominators i.e. for 194,8738 is 847586.

Thus, GCF of Fractions is 2/847586.Finally, GCF of Fractions for 8512/194, 3034/8738 is 2/847586.