Greatest Common Factor of 3151/905, 8006/8962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3151/905, 8006/8962

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 3151/905,8006/8962

Given fractions are 3151/905,8006/8962

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 3151,8006

Greatest Common Factor of Numerators i.e. GCF of 3151,8006 is 1 .

LCM of Denominators means LCM of 905,8962 as per the given fractions.

LCM of 905,8962 is 8110610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3151,8006

GCF of Fractions 3151/905,8006/8962 is 1/8110610

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

Greatest Common Factor of 3151,8006 By Matching Biggest Common Factor Method

Greatest Common Factor of 3151,8006 By Matching Biggest Common Factor Method

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1,23,137,3151

Factors of 8006

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

1,2,4003,8006

Greatest Common Factor

We found the factors 3151,8006 . The biggest common factor number is the GCF number.
So the greatest common factor 3151,8006 is 1.

Lets's calculate LCM of 905,8962

Given numbers has no common factors except 1. So, there LCM is their product i.e 8110610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8110610

Therefore, the GCF of Fractions 3151/905,8006/8962 is 1/8110610

Least Common Multiple of 905,8962 with GCF Formula

Least Common Multiple of 905,8962 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 905,8962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,8962) = 1

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

GCF(905,8962) x common factors =1 x 1 = 1

LCM(905,8962) = ( 905 × 8962 ) / 1

LCM(905,8962) = 8110610 / 1

LCM(905,8962) = 8110610


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 3151/905, 8006/8962

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 3151/905, 8006/8962?

Answer: GCF of Numerators as per given numbers 3151/905, 8006/8962 is

GCF of Numerators i.e. for 3151,8006 is 1

LCM of denominators i.e. for 905,8962 is 8110610.

Thus, GCF of Fractions is 1/8110610.Finally, GCF of Fractions for 3151/905, 8006/8962 is 1/8110610.