Greatest Common Factor of 8006/98, 3092/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8006/98, 3092/429

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 8006/98,3092/429

Given fractions are 8006/98,3092/429

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 8006,3092

Greatest Common Factor of Numerators i.e. GCF of 8006,3092 is 2 .

LCM of Denominators means LCM of 98,429 as per the given fractions.

LCM of 98,429 is 42042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8006,3092

GCF of Fractions 8006/98,3092/429 is 2/42042

2 8006, 3092
4003, 1546

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

Greatest Common Factor of 8006,3092 By Matching Biggest Common Factor Method

Greatest Common Factor of 8006,3092 By Matching Biggest Common Factor Method

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Factors of 3092

List of positive integer factors of 3092 that divides 3092 without a remainder.

1,2,4,773,1546,3092

Greatest Common Factor

We found the factors 8006,3092 . The biggest common factor number is the GCF number.
So the greatest common factor 8006,3092 is 2.

Lets's calculate LCM of 98,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 42042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42042

Therefore, the GCF of Fractions 8006/98,3092/429 is 2/42042

Least Common Multiple of 98,429 with GCF Formula

Least Common Multiple of 98,429 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 98,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,429) = 1

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

GCF(98,429) x common factors =1 x 1 = 1

LCM(98,429) = ( 98 × 429 ) / 1

LCM(98,429) = 42042 / 1

LCM(98,429) = 42042


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 8006/98, 3092/429

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 8006/98, 3092/429?

Answer: GCF of Numerators as per given numbers 8006/98, 3092/429 is

GCF of Numerators i.e. for 8006,3092 is 2

LCM of denominators i.e. for 98,429 is 42042.

Thus, GCF of Fractions is 2/42042.Finally, GCF of Fractions for 8006/98, 3092/429 is 2/42042.