Greatest Common Factor of 3702/473, 6089/7948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3702/473, 6089/7948

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 3702/473,6089/7948

Given fractions are 3702/473,6089/7948

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 3702,6089

Greatest Common Factor of Numerators i.e. GCF of 3702,6089 is 1 .

LCM of Denominators means LCM of 473,7948 as per the given fractions.

LCM of 473,7948 is 3759404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3702,6089

GCF of Fractions 3702/473,6089/7948 is 1/3759404

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

Greatest Common Factor of 3702,6089 By Matching Biggest Common Factor Method

Greatest Common Factor of 3702,6089 By Matching Biggest Common Factor Method

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1,2,3,6,617,1234,1851,3702

Factors of 6089

List of positive integer factors of 6089 that divides 6089 without a remainder.

1,6089

Greatest Common Factor

We found the factors 3702,6089 . The biggest common factor number is the GCF number.
So the greatest common factor 3702,6089 is 1.

Lets's calculate LCM of 473,7948

Given numbers has no common factors except 1. So, there LCM is their product i.e 3759404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3759404

Therefore, the GCF of Fractions 3702/473,6089/7948 is 1/3759404

Least Common Multiple of 473,7948 with GCF Formula

Least Common Multiple of 473,7948 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 473,7948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,7948) = 1

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

GCF(473,7948) x common factors =1 x 1 = 1

LCM(473,7948) = ( 473 × 7948 ) / 1

LCM(473,7948) = 3759404 / 1

LCM(473,7948) = 3759404


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 3702/473, 6089/7948

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 3702/473, 6089/7948?

Answer: GCF of Numerators as per given numbers 3702/473, 6089/7948 is

GCF of Numerators i.e. for 3702,6089 is 1

LCM of denominators i.e. for 473,7948 is 3759404.

Thus, GCF of Fractions is 1/3759404.Finally, GCF of Fractions for 3702/473, 6089/7948 is 1/3759404.