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, 208, 402, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 208, 402, 705 is 1
GCD(262, 208, 402, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 208, 402, 705 is 1
GCD(262, 208, 402, 705) = 1
Given Input numbers are 262, 208, 402, 705
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 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 262, 208, 402, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 208, 402, 705 is 1.
Therefore, GCD of numbers 262, 208, 402, 705 is 1
Given Input Data is 262, 208, 402, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 705 is 3 x 5 x 47
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, 208) = 27248
GCD(262, 208) = ( 262 x 208 ) / 27248
GCD(262, 208) = 54496 / 27248
GCD(262, 208) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
GCD(2, 402) = 804 / 402
GCD(2, 402) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
GCD(2, 705) = 1410 / 1410
GCD(2, 705) = 1
GCD of 262, 208, 402, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 208, 402, 705?
GCD of 262, 208, 402, 705 is 1
2. Where do I get the detailed procedure to find GCD of 262, 208, 402, 705?
You can find a detailed procedure to find GCD of 262, 208, 402, 705 on our page.
3. How to find GCD of 262, 208, 402, 705 on a calculator?
You can find the GCD of 262, 208, 402, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.