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 82, 87, 64, 62 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 87, 64, 62 is 1
GCD(82, 87, 64, 62) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 87, 64, 62 is 1
GCD(82, 87, 64, 62) = 1
Given Input numbers are 82, 87, 64, 62
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Greatest Common Divisior
We found the divisors of 82, 87, 64, 62 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 87, 64, 62 is 1.
Therefore, GCD of numbers 82, 87, 64, 62 is 1
Given Input Data is 82, 87, 64, 62
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 87 is 3 x 29
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 62 is 2 x 31
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(82, 87) = 7134
GCD(82, 87) = ( 82 x 87 ) / 7134
GCD(82, 87) = 7134 / 7134
GCD(82, 87) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 62) = 62
GCD(1, 62) = ( 1 x 62 ) / 62
GCD(1, 62) = 62 / 62
GCD(1, 62) = 1
GCD of 82, 87, 64, 62 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 87, 64, 62?
GCD of 82, 87, 64, 62 is 1
2. Where do I get the detailed procedure to find GCD of 82, 87, 64, 62?
You can find a detailed procedure to find GCD of 82, 87, 64, 62 on our page.
3. How to find GCD of 82, 87, 64, 62 on a calculator?
You can find the GCD of 82, 87, 64, 62 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.