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 67, 137, 642, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 137, 642, 336 is 1
GCD(67, 137, 642, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 137, 642, 336 is 1
GCD(67, 137, 642, 336) = 1
Given Input numbers are 67, 137, 642, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 67, 137, 642, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 137, 642, 336 is 1.
Therefore, GCD of numbers 67, 137, 642, 336 is 1
Given Input Data is 67, 137, 642, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 137 is 137
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(67, 137) = 9179
GCD(67, 137) = ( 67 x 137 ) / 9179
GCD(67, 137) = 9179 / 9179
GCD(67, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 67, 137, 642, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 137, 642, 336?
GCD of 67, 137, 642, 336 is 1
2. Where do I get the detailed procedure to find GCD of 67, 137, 642, 336?
You can find a detailed procedure to find GCD of 67, 137, 642, 336 on our page.
3. How to find GCD of 67, 137, 642, 336 on a calculator?
You can find the GCD of 67, 137, 642, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.