Greatest Common Factor of 955/589, 7724/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 955/589, 7724/480

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 955/589,7724/480

Given fractions are 955/589,7724/480

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 955,7724

Greatest Common Factor of Numerators i.e. GCF of 955,7724 is 1 .

LCM of Denominators means LCM of 589,480 as per the given fractions.

LCM of 589,480 is 282720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 955,7724

GCF of Fractions 955/589,7724/480 is 1/282720

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

Greatest Common Factor of 955,7724 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,7724 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors 955,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 955,7724 is 1.

Lets's calculate LCM of 589,480

Given numbers has no common factors except 1. So, there LCM is their product i.e 282720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282720

Therefore, the GCF of Fractions 955/589,7724/480 is 1/282720

Least Common Multiple of 589,480 with GCF Formula

Least Common Multiple of 589,480 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 589,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,480) = 1

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

GCF(589,480) x common factors =1 x 1 = 1

LCM(589,480) = ( 589 × 480 ) / 1

LCM(589,480) = 282720 / 1

LCM(589,480) = 282720


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 955/589, 7724/480

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 955/589, 7724/480?

Answer: GCF of Numerators as per given numbers 955/589, 7724/480 is

GCF of Numerators i.e. for 955,7724 is 1

LCM of denominators i.e. for 589,480 is 282720.

Thus, GCF of Fractions is 1/282720.Finally, GCF of Fractions for 955/589, 7724/480 is 1/282720.