Greatest Common Factor of 3389/764, 7045/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3389/764, 7045/208

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 3389/764,7045/208

Given fractions are 3389/764,7045/208

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 3389,7045

Greatest Common Factor of Numerators i.e. GCF of 3389,7045 is 1 .

LCM of Denominators means LCM of 764,208 as per the given fractions.

LCM of 764,208 is 39728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3389,7045

GCF of Fractions 3389/764,7045/208 is 1/39728

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

Greatest Common Factor of 3389,7045 By Matching Biggest Common Factor Method

Greatest Common Factor of 3389,7045 By Matching Biggest Common Factor Method

Factors of 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1,3389

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1,5,1409,7045

Greatest Common Factor

We found the factors 3389,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 3389,7045 is 1.

Lets's calculate LCM of 764,208

2 764, 208
2 382, 104
191, 52

∴ So the LCM of the given numbers is 2 x 2 x 191 x 52 = 39728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39728

Therefore, the GCF of Fractions 3389/764,7045/208 is 1/39728

Least Common Multiple of 764,208 with GCF Formula

Least Common Multiple of 764,208 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 764,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,208) = 4

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

GCF(764,208) x common factors =4 x 1 = 4

LCM(764,208) = ( 764 × 208 ) / 4

LCM(764,208) = 158912 / 4

LCM(764,208) = 39728


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 3389/764, 7045/208

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 3389/764, 7045/208?

Answer: GCF of Numerators as per given numbers 3389/764, 7045/208 is

GCF of Numerators i.e. for 3389,7045 is 1

LCM of denominators i.e. for 764,208 is 39728.

Thus, GCF of Fractions is 1/39728.Finally, GCF of Fractions for 3389/764, 7045/208 is 1/39728.