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 427, 951, 512, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 951, 512, 802 is 1
GCD(427, 951, 512, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 951, 512, 802 is 1
GCD(427, 951, 512, 802) = 1
Given Input numbers are 427, 951, 512, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 427, 951, 512, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 951, 512, 802 is 1.
Therefore, GCD of numbers 427, 951, 512, 802 is 1
Given Input Data is 427, 951, 512, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 951 is 3 x 317
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 802 is 2 x 401
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(427, 951) = 406077
GCD(427, 951) = ( 427 x 951 ) / 406077
GCD(427, 951) = 406077 / 406077
GCD(427, 951) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 427, 951, 512, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 951, 512, 802?
GCD of 427, 951, 512, 802 is 1
2. Where do I get the detailed procedure to find GCD of 427, 951, 512, 802?
You can find a detailed procedure to find GCD of 427, 951, 512, 802 on our page.
3. How to find GCD of 427, 951, 512, 802 on a calculator?
You can find the GCD of 427, 951, 512, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.