Online GCD Calculator is useful to find the GCD of 820, 478, 150, 156 quickly. Get the easiest ways to solve the greatest common divisor of 820, 478, 150, 156 i.e 2 in different methods as follows.
Given Input numbers are 820, 478, 150, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
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 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (820, 478, 150, 156) = 2.
Given numbers are 820, 478, 150, 156
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 478 are 2 x 239
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 820, 478, 150, 156 is 2.
Given numbers are 820, 478, 150, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 478) = 195980
GCD(820, 478) = ( 820 x 478 ) / 195980
= 820 / 478
= 820
Step2:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 820, 478, 150, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 478, 150, 156
The greatest common divisor of numbers 820, 478, 150, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 478, 150, 156 is 2.
1. What is the GCD of 820, 478, 150, 156?
GCD of given numbers 820, 478, 150, 156 is 2
2. How to calculate the greatest common divisor of 820, 478, 150, 156?
We can find the highest common divisor of 820, 478, 150, 156 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 820, 478, 150, 156 i.e 2.
3. How can I use the GCD of 820, 478, 150, 156Calculator?
Out the numbers 820, 478, 150, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.