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 22, 708, 737, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 708, 737, 261 is 1
GCD(22, 708, 737, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 708, 737, 261 is 1
GCD(22, 708, 737, 261) = 1
Given Input numbers are 22, 708, 737, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 22, 708, 737, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 708, 737, 261 is 1.
Therefore, GCD of numbers 22, 708, 737, 261 is 1
Given Input Data is 22, 708, 737, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 737 is 11 x 67
Prime Factorization of 261 is 3 x 3 x 29
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(22, 708) = 7788
GCD(22, 708) = ( 22 x 708 ) / 7788
GCD(22, 708) = 15576 / 7788
GCD(22, 708) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 22, 708, 737, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 708, 737, 261?
GCD of 22, 708, 737, 261 is 1
2. Where do I get the detailed procedure to find GCD of 22, 708, 737, 261?
You can find a detailed procedure to find GCD of 22, 708, 737, 261 on our page.
3. How to find GCD of 22, 708, 737, 261 on a calculator?
You can find the GCD of 22, 708, 737, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.