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 83, 352, 649, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 352, 649, 952 is 1
GCD(83, 352, 649, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 352, 649, 952 is 1
GCD(83, 352, 649, 952) = 1
Given Input numbers are 83, 352, 649, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 83, 352, 649, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 352, 649, 952 is 1.
Therefore, GCD of numbers 83, 352, 649, 952 is 1
Given Input Data is 83, 352, 649, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 649 is 11 x 59
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(83, 352) = 29216
GCD(83, 352) = ( 83 x 352 ) / 29216
GCD(83, 352) = 29216 / 29216
GCD(83, 352) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 83, 352, 649, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 352, 649, 952?
GCD of 83, 352, 649, 952 is 1
2. Where do I get the detailed procedure to find GCD of 83, 352, 649, 952?
You can find a detailed procedure to find GCD of 83, 352, 649, 952 on our page.
3. How to find GCD of 83, 352, 649, 952 on a calculator?
You can find the GCD of 83, 352, 649, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.