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 460, 655, 32, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 655, 32, 700 is 1
GCD(460, 655, 32, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 655, 32, 700 is 1
GCD(460, 655, 32, 700) = 1
Given Input numbers are 460, 655, 32, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 460, 655, 32, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 655, 32, 700 is 1.
Therefore, GCD of numbers 460, 655, 32, 700 is 1
Given Input Data is 460, 655, 32, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 655 is 5 x 131
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(460, 655) = 60260
GCD(460, 655) = ( 460 x 655 ) / 60260
GCD(460, 655) = 301300 / 60260
GCD(460, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 32) = 160
GCD(5, 32) = ( 5 x 32 ) / 160
GCD(5, 32) = 160 / 160
GCD(5, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 460, 655, 32, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 655, 32, 700?
GCD of 460, 655, 32, 700 is 1
2. Where do I get the detailed procedure to find GCD of 460, 655, 32, 700?
You can find a detailed procedure to find GCD of 460, 655, 32, 700 on our page.
3. How to find GCD of 460, 655, 32, 700 on a calculator?
You can find the GCD of 460, 655, 32, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.