Greatest Common Factor of 345/63, 422/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/63, 422/480

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 345/63,422/480

Given fractions are 345/63,422/480

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 345,422

Greatest Common Factor of Numerators i.e. GCF of 345,422 is 1 .

LCM of Denominators means LCM of 63,480 as per the given fractions.

LCM of 63,480 is 10080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,422

GCF of Fractions 345/63,422/480 is 1/10080

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

Greatest Common Factor of 345,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,422 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 345,422 . The biggest common factor number is the GCF number.
So the greatest common factor 345,422 is 1.

Lets's calculate LCM of 63,480

3 63, 480
21, 160

∴ So the LCM of the given numbers is 3 x 21 x 160 = 10080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10080

Therefore, the GCF of Fractions 345/63,422/480 is 1/10080

Least Common Multiple of 63,480 with GCF Formula

Least Common Multiple of 63,480 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 63,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,480) = 3

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

GCF(63,480) x common factors =3 x 1 = 3

LCM(63,480) = ( 63 × 480 ) / 3

LCM(63,480) = 30240 / 3

LCM(63,480) = 10080


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 345/63, 422/480

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 345/63, 422/480?

Answer: GCF of Numerators as per given numbers 345/63, 422/480 is

GCF of Numerators i.e. for 345,422 is 1

LCM of denominators i.e. for 63,480 is 10080.

Thus, GCF of Fractions is 1/10080.Finally, GCF of Fractions for 345/63, 422/480 is 1/10080.