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 762, 220, 212, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 220, 212, 397 is 1
GCD(762, 220, 212, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 220, 212, 397 is 1
GCD(762, 220, 212, 397) = 1
Given Input numbers are 762, 220, 212, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 762, 220, 212, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 220, 212, 397 is 1.
Therefore, GCD of numbers 762, 220, 212, 397 is 1
Given Input Data is 762, 220, 212, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 397 is 397
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(762, 220) = 83820
GCD(762, 220) = ( 762 x 220 ) / 83820
GCD(762, 220) = 167640 / 83820
GCD(762, 220) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
GCD(2, 212) = 424 / 212
GCD(2, 212) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
GCD(2, 397) = 794 / 794
GCD(2, 397) = 1
GCD of 762, 220, 212, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 220, 212, 397?
GCD of 762, 220, 212, 397 is 1
2. Where do I get the detailed procedure to find GCD of 762, 220, 212, 397?
You can find a detailed procedure to find GCD of 762, 220, 212, 397 on our page.
3. How to find GCD of 762, 220, 212, 397 on a calculator?
You can find the GCD of 762, 220, 212, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.