Greatest Common Factor of 8217/46, 3480/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8217/46, 3480/741

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 8217/46,3480/741

Given fractions are 8217/46,3480/741

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 8217,3480

Greatest Common Factor of Numerators i.e. GCF of 8217,3480 is 3 .

LCM of Denominators means LCM of 46,741 as per the given fractions.

LCM of 46,741 is 34086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8217,3480

GCF of Fractions 8217/46,3480/741 is 3/34086

3 8217, 3480
2739, 1160

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

Greatest Common Factor of 8217,3480 By Matching Biggest Common Factor Method

Greatest Common Factor of 8217,3480 By Matching Biggest Common Factor Method

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1,3,9,11,33,83,99,249,747,913,2739,8217

Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480

Greatest Common Factor

We found the factors 8217,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 8217,3480 is 3.

Lets's calculate LCM of 46,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 34086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34086

Therefore, the GCF of Fractions 8217/46,3480/741 is 3/34086

Least Common Multiple of 46,741 with GCF Formula

Least Common Multiple of 46,741 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 46,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,741) = 1

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

GCF(46,741) x common factors =1 x 1 = 1

LCM(46,741) = ( 46 × 741 ) / 1

LCM(46,741) = 34086 / 1

LCM(46,741) = 34086


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 8217/46, 3480/741

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 8217/46, 3480/741?

Answer: GCF of Numerators as per given numbers 8217/46, 3480/741 is

GCF of Numerators i.e. for 8217,3480 is 3

LCM of denominators i.e. for 46,741 is 34086.

Thus, GCF of Fractions is 3/34086.Finally, GCF of Fractions for 8217/46, 3480/741 is 3/34086.