Greatest Common Factor of 480/31, 2829/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/31, 2829/762

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 480/31,2829/762

Given fractions are 480/31,2829/762

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 480,2829

Greatest Common Factor of Numerators i.e. GCF of 480,2829 is 3 .

LCM of Denominators means LCM of 31,762 as per the given fractions.

LCM of 31,762 is 23622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,2829

GCF of Fractions 480/31,2829/762 is 3/23622

3 480, 2829
160, 943

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

Greatest Common Factor of 480,2829 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,2829 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 2829

List of positive integer factors of 2829 that divides 2829 without a remainder.

1,3,23,41,69,123,943,2829

Greatest Common Factor

We found the factors 480,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 480,2829 is 3.

Lets's calculate LCM of 31,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 23622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23622

Therefore, the GCF of Fractions 480/31,2829/762 is 3/23622

Least Common Multiple of 31,762 with GCF Formula

Least Common Multiple of 31,762 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 31,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,762) = 1

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

GCF(31,762) x common factors =1 x 1 = 1

LCM(31,762) = ( 31 × 762 ) / 1

LCM(31,762) = 23622 / 1

LCM(31,762) = 23622


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 480/31, 2829/762

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 480/31, 2829/762?

Answer: GCF of Numerators as per given numbers 480/31, 2829/762 is

GCF of Numerators i.e. for 480,2829 is 3

LCM of denominators i.e. for 31,762 is 23622.

Thus, GCF of Fractions is 3/23622.Finally, GCF of Fractions for 480/31, 2829/762 is 3/23622.