Greatest Common Factor of 1370/270, 1463/9216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1370/270, 1463/9216

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 1370/270,1463/9216

Given fractions are 1370/270,1463/9216

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 1370,1463

Greatest Common Factor of Numerators i.e. GCF of 1370,1463 is 1 .

LCM of Denominators means LCM of 270,9216 as per the given fractions.

LCM of 270,9216 is 138240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1370,1463

GCF of Fractions 1370/270,1463/9216 is 1/138240

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

Greatest Common Factor of 1370,1463 By Matching Biggest Common Factor Method

Greatest Common Factor of 1370,1463 By Matching Biggest Common Factor Method

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1,2,5,10,137,274,685,1370

Factors of 1463

List of positive integer factors of 1463 that divides 1463 without a remainder.

1,7,11,19,77,133,209,1463

Greatest Common Factor

We found the factors 1370,1463 . The biggest common factor number is the GCF number.
So the greatest common factor 1370,1463 is 1.

Lets's calculate LCM of 270,9216

2 270, 9216
3 135, 4608
3 45, 1536
15, 512

∴ So the LCM of the given numbers is 2 x 3 x 3 x 15 x 512 = 138240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138240

Therefore, the GCF of Fractions 1370/270,1463/9216 is 1/138240

Least Common Multiple of 270,9216 with GCF Formula

Least Common Multiple of 270,9216 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 270,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,9216) = 18

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

GCF(270,9216) x common factors =18 x 1 = 18

LCM(270,9216) = ( 270 × 9216 ) / 18

LCM(270,9216) = 2488320 / 18

LCM(270,9216) = 138240


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 1370/270, 1463/9216

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 1370/270, 1463/9216?

Answer: GCF of Numerators as per given numbers 1370/270, 1463/9216 is

GCF of Numerators i.e. for 1370,1463 is 1

LCM of denominators i.e. for 270,9216 is 138240.

Thus, GCF of Fractions is 1/138240.Finally, GCF of Fractions for 1370/270, 1463/9216 is 1/138240.