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 85, 662, 488, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 662, 488, 731 is 1
GCD(85, 662, 488, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 662, 488, 731 is 1
GCD(85, 662, 488, 731) = 1
Given Input numbers are 85, 662, 488, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 85, 662, 488, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 662, 488, 731 is 1.
Therefore, GCD of numbers 85, 662, 488, 731 is 1
Given Input Data is 85, 662, 488, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 662 is 2 x 331
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 731 is 17 x 43
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(85, 662) = 56270
GCD(85, 662) = ( 85 x 662 ) / 56270
GCD(85, 662) = 56270 / 56270
GCD(85, 662) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 85, 662, 488, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 662, 488, 731?
GCD of 85, 662, 488, 731 is 1
2. Where do I get the detailed procedure to find GCD of 85, 662, 488, 731?
You can find a detailed procedure to find GCD of 85, 662, 488, 731 on our page.
3. How to find GCD of 85, 662, 488, 731 on a calculator?
You can find the GCD of 85, 662, 488, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.