Greatest Common Factor of 3215/134, 9355/8008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3215/134, 9355/8008

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 3215/134,9355/8008

Given fractions are 3215/134,9355/8008

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 3215,9355

Greatest Common Factor of Numerators i.e. GCF of 3215,9355 is 5 .

LCM of Denominators means LCM of 134,8008 as per the given fractions.

LCM of 134,8008 is 536536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3215,9355

GCF of Fractions 3215/134,9355/8008 is 5/536536

5 3215, 9355
643, 1871

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3215,9355 By Matching Biggest Common Factor Method

Greatest Common Factor of 3215,9355 By Matching Biggest Common Factor Method

Factors of 3215

List of positive integer factors of 3215 that divides 3215 without a remainder.

1,5,643,3215

Factors of 9355

List of positive integer factors of 9355 that divides 9355 without a remainder.

1,5,1871,9355

Greatest Common Factor

We found the factors 3215,9355 . The biggest common factor number is the GCF number.
So the greatest common factor 3215,9355 is 5.

Lets's calculate LCM of 134,8008

2 134, 8008
67, 4004

∴ So the LCM of the given numbers is 2 x 67 x 4004 = 536536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/536536

Therefore, the GCF of Fractions 3215/134,9355/8008 is 5/536536

Least Common Multiple of 134,8008 with GCF Formula

Least Common Multiple of 134,8008 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 134,8008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,8008) = 2

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

GCF(134,8008) x common factors =2 x 1 = 2

LCM(134,8008) = ( 134 × 8008 ) / 2

LCM(134,8008) = 1073072 / 2

LCM(134,8008) = 536536


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 3215/134, 9355/8008

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 3215/134, 9355/8008?

Answer: GCF of Numerators as per given numbers 3215/134, 9355/8008 is

GCF of Numerators i.e. for 3215,9355 is 5

LCM of denominators i.e. for 134,8008 is 536536.

Thus, GCF of Fractions is 5/536536.Finally, GCF of Fractions for 3215/134, 9355/8008 is 5/536536.