Greatest Common Factor of 465/717, 6740/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/717, 6740/106

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 465/717,6740/106

Given fractions are 465/717,6740/106

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 465,6740

Greatest Common Factor of Numerators i.e. GCF of 465,6740 is 5 .

LCM of Denominators means LCM of 717,106 as per the given fractions.

LCM of 717,106 is 76002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,6740

GCF of Fractions 465/717,6740/106 is 5/76002

5 465, 6740
93, 1348

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

Greatest Common Factor of 465,6740 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,6740 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Greatest Common Factor

We found the factors 465,6740 . The biggest common factor number is the GCF number.
So the greatest common factor 465,6740 is 5.

Lets's calculate LCM of 717,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 76002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/76002

Therefore, the GCF of Fractions 465/717,6740/106 is 5/76002

Least Common Multiple of 717,106 with GCF Formula

Least Common Multiple of 717,106 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 717,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,106) = 1

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

GCF(717,106) x common factors =1 x 1 = 1

LCM(717,106) = ( 717 × 106 ) / 1

LCM(717,106) = 76002 / 1

LCM(717,106) = 76002


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 465/717, 6740/106

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 465/717, 6740/106?

Answer: GCF of Numerators as per given numbers 465/717, 6740/106 is

GCF of Numerators i.e. for 465,6740 is 5

LCM of denominators i.e. for 717,106 is 76002.

Thus, GCF of Fractions is 5/76002.Finally, GCF of Fractions for 465/717, 6740/106 is 5/76002.