Greatest Common Factor of 635/923, 289/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 635/923, 289/480

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 635/923,289/480

Given fractions are 635/923,289/480

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 635,289

Greatest Common Factor of Numerators i.e. GCF of 635,289 is 1 .

LCM of Denominators means LCM of 923,480 as per the given fractions.

LCM of 923,480 is 443040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 635,289

GCF of Fractions 635/923,289/480 is 1/443040

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

Greatest Common Factor of 635,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,289 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 635,289 . The biggest common factor number is the GCF number.
So the greatest common factor 635,289 is 1.

Lets's calculate LCM of 923,480

Given numbers has no common factors except 1. So, there LCM is their product i.e 443040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443040

Therefore, the GCF of Fractions 635/923,289/480 is 1/443040

Least Common Multiple of 923,480 with GCF Formula

Least Common Multiple of 923,480 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 923,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,480) = 1

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

GCF(923,480) x common factors =1 x 1 = 1

LCM(923,480) = ( 923 × 480 ) / 1

LCM(923,480) = 443040 / 1

LCM(923,480) = 443040


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 635/923, 289/480

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 635/923, 289/480?

Answer: GCF of Numerators as per given numbers 635/923, 289/480 is

GCF of Numerators i.e. for 635,289 is 1

LCM of denominators i.e. for 923,480 is 443040.

Thus, GCF of Fractions is 1/443040.Finally, GCF of Fractions for 635/923, 289/480 is 1/443040.