Greatest Common Factor of 3780/399, 7073/6787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3780/399, 7073/6787

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 3780/399,7073/6787

Given fractions are 3780/399,7073/6787

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 3780,7073

Greatest Common Factor of Numerators i.e. GCF of 3780,7073 is 1 .

LCM of Denominators means LCM of 399,6787 as per the given fractions.

LCM of 399,6787 is 2708013 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3780,7073

GCF of Fractions 3780/399,7073/6787 is 1/2708013

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

Greatest Common Factor of 3780,7073 By Matching Biggest Common Factor Method

Greatest Common Factor of 3780,7073 By Matching Biggest Common Factor Method

Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1,11,643,7073

Greatest Common Factor

We found the factors 3780,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,7073 is 1.

Lets's calculate LCM of 399,6787

Given numbers has no common factors except 1. So, there LCM is their product i.e 2708013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2708013

Therefore, the GCF of Fractions 3780/399,7073/6787 is 1/2708013

Least Common Multiple of 399,6787 with GCF Formula

Least Common Multiple of 399,6787 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 399,6787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,6787) = 1

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

GCF(399,6787) x common factors =1 x 1 = 1

LCM(399,6787) = ( 399 × 6787 ) / 1

LCM(399,6787) = 2708013 / 1

LCM(399,6787) = 2708013


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 3780/399, 7073/6787

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 3780/399, 7073/6787?

Answer: GCF of Numerators as per given numbers 3780/399, 7073/6787 is

GCF of Numerators i.e. for 3780,7073 is 1

LCM of denominators i.e. for 399,6787 is 2708013.

Thus, GCF of Fractions is 1/2708013.Finally, GCF of Fractions for 3780/399, 7073/6787 is 1/2708013.