Greatest Common Factor of 3047/16, 8662/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3047/16, 8662/351

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 3047/16,8662/351

Given fractions are 3047/16,8662/351

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 3047,8662

Greatest Common Factor of Numerators i.e. GCF of 3047,8662 is 1 .

LCM of Denominators means LCM of 16,351 as per the given fractions.

LCM of 16,351 is 5616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3047,8662

GCF of Fractions 3047/16,8662/351 is 1/5616

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

Greatest Common Factor of 3047,8662 By Matching Biggest Common Factor Method

Greatest Common Factor of 3047,8662 By Matching Biggest Common Factor Method

Factors of 3047

List of positive integer factors of 3047 that divides 3047 without a remainder.

1,11,277,3047

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1,2,61,71,122,142,4331,8662

Greatest Common Factor

We found the factors 3047,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 3047,8662 is 1.

Lets's calculate LCM of 16,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 5616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5616

Therefore, the GCF of Fractions 3047/16,8662/351 is 1/5616

Least Common Multiple of 16,351 with GCF Formula

Least Common Multiple of 16,351 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 16,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,351) = 1

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

GCF(16,351) x common factors =1 x 1 = 1

LCM(16,351) = ( 16 × 351 ) / 1

LCM(16,351) = 5616 / 1

LCM(16,351) = 5616


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 3047/16, 8662/351

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 3047/16, 8662/351?

Answer: GCF of Numerators as per given numbers 3047/16, 8662/351 is

GCF of Numerators i.e. for 3047,8662 is 1

LCM of denominators i.e. for 16,351 is 5616.

Thus, GCF of Fractions is 1/5616.Finally, GCF of Fractions for 3047/16, 8662/351 is 1/5616.