Greatest Common Factor of 6720/463, 2689/9455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6720/463, 2689/9455

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 6720/463,2689/9455

Given fractions are 6720/463,2689/9455

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 6720,2689

Greatest Common Factor of Numerators i.e. GCF of 6720,2689 is 1 .

LCM of Denominators means LCM of 463,9455 as per the given fractions.

LCM of 463,9455 is 4377665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6720,2689

GCF of Fractions 6720/463,2689/9455 is 1/4377665

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

Greatest Common Factor of 6720,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 6720,2689 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 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Greatest Common Factor

We found the factors 6720,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 6720,2689 is 1.

Lets's calculate LCM of 463,9455

Given numbers has no common factors except 1. So, there LCM is their product i.e 4377665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4377665

Therefore, the GCF of Fractions 6720/463,2689/9455 is 1/4377665

Least Common Multiple of 463,9455 with GCF Formula

Least Common Multiple of 463,9455 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 463,9455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,9455) = 1

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

GCF(463,9455) x common factors =1 x 1 = 1

LCM(463,9455) = ( 463 × 9455 ) / 1

LCM(463,9455) = 4377665 / 1

LCM(463,9455) = 4377665


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 6720/463, 2689/9455

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 6720/463, 2689/9455?

Answer: GCF of Numerators as per given numbers 6720/463, 2689/9455 is

GCF of Numerators i.e. for 6720,2689 is 1

LCM of denominators i.e. for 463,9455 is 4377665.

Thus, GCF of Fractions is 1/4377665.Finally, GCF of Fractions for 6720/463, 2689/9455 is 1/4377665.