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 262, 802, 67, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 802, 67, 566 is 1
GCD(262, 802, 67, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 802, 67, 566 is 1
GCD(262, 802, 67, 566) = 1
Given Input numbers are 262, 802, 67, 566
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 262, 802, 67, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 802, 67, 566 is 1.
Therefore, GCD of numbers 262, 802, 67, 566 is 1
Given Input Data is 262, 802, 67, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 802 is 2 x 401
Prime Factorization of 67 is 67
Prime Factorization of 566 is 2 x 283
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(262, 802) = 105062
GCD(262, 802) = ( 262 x 802 ) / 105062
GCD(262, 802) = 210124 / 105062
GCD(262, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 262, 802, 67, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 802, 67, 566?
GCD of 262, 802, 67, 566 is 1
2. Where do I get the detailed procedure to find GCD of 262, 802, 67, 566?
You can find a detailed procedure to find GCD of 262, 802, 67, 566 on our page.
3. How to find GCD of 262, 802, 67, 566 on a calculator?
You can find the GCD of 262, 802, 67, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.