Greatest Common Factor of 354/670, 6315/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/670, 6315/720

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 354/670,6315/720

Given fractions are 354/670,6315/720

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 354,6315

Greatest Common Factor of Numerators i.e. GCF of 354,6315 is 3 .

LCM of Denominators means LCM of 670,720 as per the given fractions.

LCM of 670,720 is 48240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,6315

GCF of Fractions 354/670,6315/720 is 3/48240

3 354, 6315
118, 2105

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

Greatest Common Factor of 354,6315 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,6315 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1,3,5,15,421,1263,2105,6315

Greatest Common Factor

We found the factors 354,6315 . The biggest common factor number is the GCF number.
So the greatest common factor 354,6315 is 3.

Lets's calculate LCM of 670,720

2 670, 720
5 335, 360
67, 72

∴ So the LCM of the given numbers is 2 x 5 x 67 x 72 = 48240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48240

Therefore, the GCF of Fractions 354/670,6315/720 is 3/48240

Least Common Multiple of 670,720 with GCF Formula

Least Common Multiple of 670,720 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 670,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,720) = 10

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

GCF(670,720) x common factors =10 x 1 = 10

LCM(670,720) = ( 670 × 720 ) / 10

LCM(670,720) = 482400 / 10

LCM(670,720) = 48240


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 354/670, 6315/720

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 354/670, 6315/720?

Answer: GCF of Numerators as per given numbers 354/670, 6315/720 is

GCF of Numerators i.e. for 354,6315 is 3

LCM of denominators i.e. for 670,720 is 48240.

Thus, GCF of Fractions is 3/48240.Finally, GCF of Fractions for 354/670, 6315/720 is 3/48240.