Greatest Common Factor of 55/13, 40/27, 30/47, 915/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/13, 40/27, 30/47, 915/67

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 55/13,40/27,30/47,915/67

Given fractions are 55/13,40/27,30/47,915/67

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 55,40,30,915

Greatest Common Factor of Numerators i.e. GCF of 55,40,30,915 is 5 .

LCM of Denominators means LCM of 13,27,47,67 as per the given fractions.

LCM of 13,27,47,67 is 1105299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,40,30,915

GCF of Fractions 55/13,40/27,30/47,915/67 is 5/1105299

5 55, 40, 30, 915
11, 8, 6, 183

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

Greatest Common Factor of 55,40,30,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,40,30,915 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 55,40,30,915 . The biggest common factor number is the GCF number.
So the greatest common factor 55,40,30,915 is 5.

Lets's calculate LCM of 13,27,47,67

Given numbers has no common factors except 1. So, there LCM is their product i.e 1105299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1105299

Therefore, the GCF of Fractions 55/13,40/27,30/47,915/67 is 5/1105299

Least Common Multiple of 13,27,47,67 with GCF Formula

Least Common Multiple of 13,27,47,67 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 13,27,47,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,27,47,67) = 1

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

GCF(13,27,47,67) x common factors =1 x 1 = 1

LCM(13,27,47,67) = ( 13 × 27 × 47 × 67 ) / 1

LCM(13,27,47,67) = 1105299 / 1

LCM(13,27,47,67) = 1105299


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 55/13, 40/27, 30/47, 915/67

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 55/13, 40/27, 30/47, 915/67?

Answer: GCF of Numerators as per given numbers 55/13, 40/27, 30/47, 915/67 is

GCF of Numerators i.e. for 55,40,30,915 is 5

LCM of denominators i.e. for 13,27,47,67 is 1105299.

Thus, GCF of Fractions is 5/1105299.Finally, GCF of Fractions for 55/13, 40/27, 30/47, 915/67 is 5/1105299.