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 62, 274, 642, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 274, 642, 111 is 1
GCD(62, 274, 642, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 274, 642, 111 is 1
GCD(62, 274, 642, 111) = 1
Given Input numbers are 62, 274, 642, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 62, 274, 642, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 274, 642, 111 is 1.
Therefore, GCD of numbers 62, 274, 642, 111 is 1
Given Input Data is 62, 274, 642, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 274 is 2 x 137
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 111 is 3 x 37
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(62, 274) = 8494
GCD(62, 274) = ( 62 x 274 ) / 8494
GCD(62, 274) = 16988 / 8494
GCD(62, 274) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
GCD(2, 642) = 1284 / 642
GCD(2, 642) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
GCD(2, 111) = 222 / 222
GCD(2, 111) = 1
GCD of 62, 274, 642, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 274, 642, 111?
GCD of 62, 274, 642, 111 is 1
2. Where do I get the detailed procedure to find GCD of 62, 274, 642, 111?
You can find a detailed procedure to find GCD of 62, 274, 642, 111 on our page.
3. How to find GCD of 62, 274, 642, 111 on a calculator?
You can find the GCD of 62, 274, 642, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.