Online GCD Calculator is useful to find the GCD of 252, 150, 810, 854 quickly. Get the easiest ways to solve the greatest common divisor of 252, 150, 810, 854 i.e 2 in different methods as follows.
Given Input numbers are 252, 150, 810, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (252, 150, 810, 854) = 2.
Given numbers are 252, 150, 810, 854
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 252, 150, 810, 854 is 2.
Given numbers are 252, 150, 810, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 150) = 6300
GCD(252, 150) = ( 252 x 150 ) / 6300
= 252 / 150
= 252
Step2:
LCM(6, 810) = 810
GCD(6, 810) = ( 6 x 810 ) / 810
= 6 / 810
= 6
Step3:
LCM(6, 854) = 2562
GCD(6, 854) = ( 6 x 854 ) / 2562
= 6 / 854
= 6
So, Greatest Common Divisor of 252, 150, 810, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 150, 810, 854
The greatest common divisor of numbers 252, 150, 810, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 150, 810, 854 is 2.
1. What is the GCD of 252, 150, 810, 854?
GCD of given numbers 252, 150, 810, 854 is 2
2. How to calculate the greatest common divisor of 252, 150, 810, 854?
We can find the highest common divisor of 252, 150, 810, 854 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 150, 810, 854 i.e 2.
3. How can I use the GCD of 252, 150, 810, 854Calculator?
Out the numbers 252, 150, 810, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.