Greatest Common Factor of 939/830, 438/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/830, 438/762

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 939/830,438/762

Given fractions are 939/830,438/762

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 939,438

Greatest Common Factor of Numerators i.e. GCF of 939,438 is 3 .

LCM of Denominators means LCM of 830,762 as per the given fractions.

LCM of 830,762 is 316230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,438

GCF of Fractions 939/830,438/762 is 3/316230

3 939, 438
313, 146

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 939,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,438 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 939,438 . The biggest common factor number is the GCF number.
So the greatest common factor 939,438 is 3.

Lets's calculate LCM of 830,762

2 830, 762
415, 381

∴ So the LCM of the given numbers is 2 x 415 x 381 = 316230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/316230

Therefore, the GCF of Fractions 939/830,438/762 is 3/316230

Least Common Multiple of 830,762 with GCF Formula

Least Common Multiple of 830,762 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 830,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,762) = 2

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

GCF(830,762) x common factors =2 x 1 = 2

LCM(830,762) = ( 830 × 762 ) / 2

LCM(830,762) = 632460 / 2

LCM(830,762) = 316230


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 939/830, 438/762

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 939/830, 438/762?

Answer: GCF of Numerators as per given numbers 939/830, 438/762 is

GCF of Numerators i.e. for 939,438 is 3

LCM of denominators i.e. for 830,762 is 316230.

Thus, GCF of Fractions is 3/316230.Finally, GCF of Fractions for 939/830, 438/762 is 3/316230.