Greatest Common Factor of 39/614, 833/959, 265/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/614, 833/959, 265/242

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 39/614,833/959,265/242

Given fractions are 39/614,833/959,265/242

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 39,833,265

Greatest Common Factor of Numerators i.e. GCF of 39,833,265 is 1 .

LCM of Denominators means LCM of 614,959,242 as per the given fractions.

LCM of 614,959,242 is 71247946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,833,265

GCF of Fractions 39/614,833/959,265/242 is 1/71247946

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

Greatest Common Factor of 39,833,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,833,265 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 39,833,265 . The biggest common factor number is the GCF number.
So the greatest common factor 39,833,265 is 1.

Lets's calculate LCM of 614,959,242

2 614, 959, 242
307, 959, 121

∴ So the LCM of the given numbers is 2 x 307 x 959 x 121 = 71247946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71247946

Therefore, the GCF of Fractions 39/614,833/959,265/242 is 1/71247946

Least Common Multiple of 614,959,242 with GCF Formula

Least Common Multiple of 614,959,242 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 614,959,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,959,242) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(614,959,242) x common factors =1 x 2 = 2

LCM(614,959,242) = ( 614 × 959 × 242 ) / 2

LCM(614,959,242) = 142495892 / 2

LCM(614,959,242) = 71247946


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 39/614, 833/959, 265/242

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 39/614, 833/959, 265/242?

Answer: GCF of Numerators as per given numbers 39/614, 833/959, 265/242 is

GCF of Numerators i.e. for 39,833,265 is 1

LCM of denominators i.e. for 614,959,242 is 71247946.

Thus, GCF of Fractions is 1/71247946.Finally, GCF of Fractions for 39/614, 833/959, 265/242 is 1/71247946.