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 142, 648, 837, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 648, 837, 852 is 1
GCD(142, 648, 837, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 648, 837, 852 is 1
GCD(142, 648, 837, 852) = 1
Given Input numbers are 142, 648, 837, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 142, 648, 837, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 648, 837, 852 is 1.
Therefore, GCD of numbers 142, 648, 837, 852 is 1
Given Input Data is 142, 648, 837, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(142, 648) = 46008
GCD(142, 648) = ( 142 x 648 ) / 46008
GCD(142, 648) = 92016 / 46008
GCD(142, 648) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 837) = 1674
GCD(2, 837) = ( 2 x 837 ) / 1674
GCD(2, 837) = 1674 / 1674
GCD(2, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 142, 648, 837, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 648, 837, 852?
GCD of 142, 648, 837, 852 is 1
2. Where do I get the detailed procedure to find GCD of 142, 648, 837, 852?
You can find a detailed procedure to find GCD of 142, 648, 837, 852 on our page.
3. How to find GCD of 142, 648, 837, 852 on a calculator?
You can find the GCD of 142, 648, 837, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.