Greatest Common Factor of 6720/725, 5946/1869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6720/725, 5946/1869

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 6720/725,5946/1869

Given fractions are 6720/725,5946/1869

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 6720,5946

Greatest Common Factor of Numerators i.e. GCF of 6720,5946 is 6 .

LCM of Denominators means LCM of 725,1869 as per the given fractions.

LCM of 725,1869 is 1355025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6720,5946

GCF of Fractions 6720/725,5946/1869 is 6/1355025

2 6720, 5946
3 3360, 2973
1120, 991

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

Greatest Common Factor of 6720,5946 By Matching Biggest Common Factor Method

Greatest Common Factor of 6720,5946 By Matching Biggest Common Factor Method

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1,2,3,6,991,1982,2973,5946

Greatest Common Factor

We found the factors 6720,5946 . The biggest common factor number is the GCF number.
So the greatest common factor 6720,5946 is 6.

Lets's calculate LCM of 725,1869

Given numbers has no common factors except 1. So, there LCM is their product i.e 1355025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1355025

Therefore, the GCF of Fractions 6720/725,5946/1869 is 6/1355025

Least Common Multiple of 725,1869 with GCF Formula

Least Common Multiple of 725,1869 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 725,1869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,1869) = 1

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

GCF(725,1869) x common factors =1 x 1 = 1

LCM(725,1869) = ( 725 × 1869 ) / 1

LCM(725,1869) = 1355025 / 1

LCM(725,1869) = 1355025


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 6720/725, 5946/1869

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 6720/725, 5946/1869?

Answer: GCF of Numerators as per given numbers 6720/725, 5946/1869 is

GCF of Numerators i.e. for 6720,5946 is 6

LCM of denominators i.e. for 725,1869 is 1355025.

Thus, GCF of Fractions is 6/1355025.Finally, GCF of Fractions for 6720/725, 5946/1869 is 6/1355025.