Greatest Common Factor of 5969/745, 3959/9400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5969/745, 3959/9400

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 5969/745,3959/9400

Given fractions are 5969/745,3959/9400

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 5969,3959

Greatest Common Factor of Numerators i.e. GCF of 5969,3959 is 1 .

LCM of Denominators means LCM of 745,9400 as per the given fractions.

LCM of 745,9400 is 1400600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5969,3959

GCF of Fractions 5969/745,3959/9400 is 1/1400600

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

Greatest Common Factor of 5969,3959 By Matching Biggest Common Factor Method

Greatest Common Factor of 5969,3959 By Matching Biggest Common Factor Method

Factors of 5969

List of positive integer factors of 5969 that divides 5969 without a remainder.

1,47,127,5969

Factors of 3959

List of positive integer factors of 3959 that divides 3959 without a remainder.

1,37,107,3959

Greatest Common Factor

We found the factors 5969,3959 . The biggest common factor number is the GCF number.
So the greatest common factor 5969,3959 is 1.

Lets's calculate LCM of 745,9400

5 745, 9400
149, 1880

∴ So the LCM of the given numbers is 5 x 149 x 1880 = 1400600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400600

Therefore, the GCF of Fractions 5969/745,3959/9400 is 1/1400600

Least Common Multiple of 745,9400 with GCF Formula

Least Common Multiple of 745,9400 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 745,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,9400) = 5

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

GCF(745,9400) x common factors =5 x 1 = 5

LCM(745,9400) = ( 745 × 9400 ) / 5

LCM(745,9400) = 7003000 / 5

LCM(745,9400) = 1400600


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 5969/745, 3959/9400

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 5969/745, 3959/9400?

Answer: GCF of Numerators as per given numbers 5969/745, 3959/9400 is

GCF of Numerators i.e. for 5969,3959 is 1

LCM of denominators i.e. for 745,9400 is 1400600.

Thus, GCF of Fractions is 1/1400600.Finally, GCF of Fractions for 5969/745, 3959/9400 is 1/1400600.