GCD of 55, 46, 14, 67 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 55, 46, 14, 67 i.e. 1 largest integer that divides all the numbers equally.

GCD of 55, 46, 14, 67 is 1

GCD(55, 46, 14, 67) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 55, 46, 14, 67 is 1

GCD(55, 46, 14, 67) = 1

GCD of 55,46,14,67 Calculator

GCDof 55,46,14,67 is 1

Given Input numbers are 55, 46, 14, 67

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 55

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

1, 5, 11, 55

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 55, 46, 14, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 46, 14, 67 is 1.

Therefore, GCD of numbers 55, 46, 14, 67 is 1

Finding GCD of 55, 46, 14, 67 using Prime Factorization

Given Input Data is 55, 46, 14, 67

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 55 is 5 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 14 is 2 x 7

Prime Factorization of 67 is 67

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 55, 46, 14, 67 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(55, 46) = 2530

GCD(55, 46) = ( 55 x 46 ) / 2530

GCD(55, 46) = 2530 / 2530

GCD(55, 46) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 55, 46, 14, 67 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 55, 46, 14, 67

1. What is the GCD of 55, 46, 14, 67?

GCD of 55, 46, 14, 67 is 1


2. Where do I get the detailed procedure to find GCD of 55, 46, 14, 67?

You can find a detailed procedure to find GCD of 55, 46, 14, 67 on our page.


3. How to find GCD of 55, 46, 14, 67 on a calculator?

You can find the GCD of 55, 46, 14, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.