Greatest Common Factor of 3673/65, 4746/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3673/65, 4746/106

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 3673/65,4746/106

Given fractions are 3673/65,4746/106

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 3673,4746

Greatest Common Factor of Numerators i.e. GCF of 3673,4746 is 1 .

LCM of Denominators means LCM of 65,106 as per the given fractions.

LCM of 65,106 is 6890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3673,4746

GCF of Fractions 3673/65,4746/106 is 1/6890

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

Greatest Common Factor of 3673,4746 By Matching Biggest Common Factor Method

Greatest Common Factor of 3673,4746 By Matching Biggest Common Factor Method

Factors of 3673

List of positive integer factors of 3673 that divides 3673 without a remainder.

1,3673

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

Greatest Common Factor

We found the factors 3673,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 3673,4746 is 1.

Lets's calculate LCM of 65,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 6890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6890

Therefore, the GCF of Fractions 3673/65,4746/106 is 1/6890

Least Common Multiple of 65,106 with GCF Formula

Least Common Multiple of 65,106 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 65,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,106) = 1

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

GCF(65,106) x common factors =1 x 1 = 1

LCM(65,106) = ( 65 × 106 ) / 1

LCM(65,106) = 6890 / 1

LCM(65,106) = 6890


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 3673/65, 4746/106

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 3673/65, 4746/106?

Answer: GCF of Numerators as per given numbers 3673/65, 4746/106 is

GCF of Numerators i.e. for 3673,4746 is 1

LCM of denominators i.e. for 65,106 is 6890.

Thus, GCF of Fractions is 1/6890.Finally, GCF of Fractions for 3673/65, 4746/106 is 1/6890.