Greatest Common Factor of 1464/83, 4938/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1464/83, 4938/838

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 1464/83,4938/838

Given fractions are 1464/83,4938/838

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 1464,4938

Greatest Common Factor of Numerators i.e. GCF of 1464,4938 is 6 .

LCM of Denominators means LCM of 83,838 as per the given fractions.

LCM of 83,838 is 69554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1464,4938

GCF of Fractions 1464/83,4938/838 is 6/69554

2 1464, 4938
3 732, 2469
244, 823

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1464,4938 By Matching Biggest Common Factor Method

Greatest Common Factor of 1464,4938 By Matching Biggest Common Factor Method

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1,2,3,6,823,1646,2469,4938

Greatest Common Factor

We found the factors 1464,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,4938 is 6.

Lets's calculate LCM of 83,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 69554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/69554

Therefore, the GCF of Fractions 1464/83,4938/838 is 6/69554

Least Common Multiple of 83,838 with GCF Formula

Least Common Multiple of 83,838 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 83,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,838) = 1

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

GCF(83,838) x common factors =1 x 1 = 1

LCM(83,838) = ( 83 × 838 ) / 1

LCM(83,838) = 69554 / 1

LCM(83,838) = 69554


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 1464/83, 4938/838

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 1464/83, 4938/838?

Answer: GCF of Numerators as per given numbers 1464/83, 4938/838 is

GCF of Numerators i.e. for 1464,4938 is 6

LCM of denominators i.e. for 83,838 is 69554.

Thus, GCF of Fractions is 6/69554.Finally, GCF of Fractions for 1464/83, 4938/838 is 6/69554.