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 170, 862, 65, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 862, 65, 629 is 1
GCD(170, 862, 65, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 862, 65, 629 is 1
GCD(170, 862, 65, 629) = 1
Given Input numbers are 170, 862, 65, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 170, 862, 65, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 862, 65, 629 is 1.
Therefore, GCD of numbers 170, 862, 65, 629 is 1
Given Input Data is 170, 862, 65, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 862 is 2 x 431
Prime Factorization of 65 is 5 x 13
Prime Factorization of 629 is 17 x 37
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(170, 862) = 73270
GCD(170, 862) = ( 170 x 862 ) / 73270
GCD(170, 862) = 146540 / 73270
GCD(170, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 170, 862, 65, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 862, 65, 629?
GCD of 170, 862, 65, 629 is 1
2. Where do I get the detailed procedure to find GCD of 170, 862, 65, 629?
You can find a detailed procedure to find GCD of 170, 862, 65, 629 on our page.
3. How to find GCD of 170, 862, 65, 629 on a calculator?
You can find the GCD of 170, 862, 65, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.