Greatest Common Factor of 4732/509, 2413/3831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4732/509, 2413/3831

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 4732/509,2413/3831

Given fractions are 4732/509,2413/3831

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 4732,2413

Greatest Common Factor of Numerators i.e. GCF of 4732,2413 is 1 .

LCM of Denominators means LCM of 509,3831 as per the given fractions.

LCM of 509,3831 is 1949979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4732,2413

GCF of Fractions 4732/509,2413/3831 is 1/1949979

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

Greatest Common Factor of 4732,2413 By Matching Biggest Common Factor Method

Greatest Common Factor of 4732,2413 By Matching Biggest Common Factor Method

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Factors of 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1,19,127,2413

Greatest Common Factor

We found the factors 4732,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,2413 is 1.

Lets's calculate LCM of 509,3831

Given numbers has no common factors except 1. So, there LCM is their product i.e 1949979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1949979

Therefore, the GCF of Fractions 4732/509,2413/3831 is 1/1949979

Least Common Multiple of 509,3831 with GCF Formula

Least Common Multiple of 509,3831 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 509,3831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,3831) = 1

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

GCF(509,3831) x common factors =1 x 1 = 1

LCM(509,3831) = ( 509 × 3831 ) / 1

LCM(509,3831) = 1949979 / 1

LCM(509,3831) = 1949979


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 4732/509, 2413/3831

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 4732/509, 2413/3831?

Answer: GCF of Numerators as per given numbers 4732/509, 2413/3831 is

GCF of Numerators i.e. for 4732,2413 is 1

LCM of denominators i.e. for 509,3831 is 1949979.

Thus, GCF of Fractions is 1/1949979.Finally, GCF of Fractions for 4732/509, 2413/3831 is 1/1949979.