Greatest Common Factor of 3807/509, 1119/3312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3807/509, 1119/3312

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 3807/509,1119/3312

Given fractions are 3807/509,1119/3312

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 3807,1119

Greatest Common Factor of Numerators i.e. GCF of 3807,1119 is 3 .

LCM of Denominators means LCM of 509,3312 as per the given fractions.

LCM of 509,3312 is 1685808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3807,1119

GCF of Fractions 3807/509,1119/3312 is 3/1685808

3 3807, 1119
1269, 373

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

Greatest Common Factor of 3807,1119 By Matching Biggest Common Factor Method

Greatest Common Factor of 3807,1119 By Matching Biggest Common Factor Method

Factors of 3807

List of positive integer factors of 3807 that divides 3807 without a remainder.

1,3,9,27,47,81,141,423,1269,3807

Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1,3,373,1119

Greatest Common Factor

We found the factors 3807,1119 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,1119 is 3.

Lets's calculate LCM of 509,3312

Given numbers has no common factors except 1. So, there LCM is their product i.e 1685808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1685808

Therefore, the GCF of Fractions 3807/509,1119/3312 is 3/1685808

Least Common Multiple of 509,3312 with GCF Formula

Least Common Multiple of 509,3312 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 509,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,3312) = 1

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

GCF(509,3312) x common factors =1 x 1 = 1

LCM(509,3312) = ( 509 × 3312 ) / 1

LCM(509,3312) = 1685808 / 1

LCM(509,3312) = 1685808


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 3807/509, 1119/3312

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 3807/509, 1119/3312?

Answer: GCF of Numerators as per given numbers 3807/509, 1119/3312 is

GCF of Numerators i.e. for 3807,1119 is 3

LCM of denominators i.e. for 509,3312 is 1685808.

Thus, GCF of Fractions is 3/1685808.Finally, GCF of Fractions for 3807/509, 1119/3312 is 3/1685808.