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 652, 272, 59, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 272, 59, 402 is 1
GCD(652, 272, 59, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 272, 59, 402 is 1
GCD(652, 272, 59, 402) = 1
Given Input numbers are 652, 272, 59, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 652, 272, 59, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 272, 59, 402 is 1.
Therefore, GCD of numbers 652, 272, 59, 402 is 1
Given Input Data is 652, 272, 59, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 59 is 59
Prime Factorization of 402 is 2 x 3 x 67
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(652, 272) = 44336
GCD(652, 272) = ( 652 x 272 ) / 44336
GCD(652, 272) = 177344 / 44336
GCD(652, 272) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 59) = 236
GCD(4, 59) = ( 4 x 59 ) / 236
GCD(4, 59) = 236 / 236
GCD(4, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 652, 272, 59, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 272, 59, 402?
GCD of 652, 272, 59, 402 is 1
2. Where do I get the detailed procedure to find GCD of 652, 272, 59, 402?
You can find a detailed procedure to find GCD of 652, 272, 59, 402 on our page.
3. How to find GCD of 652, 272, 59, 402 on a calculator?
You can find the GCD of 652, 272, 59, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.