Online GCD Calculator is useful to find the GCD of 156, 500, 354, 800 quickly. Get the easiest ways to solve the greatest common divisor of 156, 500, 354, 800 i.e 2 in different methods as follows.
Given Input numbers are 156, 500, 354, 800
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (156, 500, 354, 800) = 2.
Given numbers are 156, 500, 354, 800
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 354 are 2 x 3 x 59
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 156, 500, 354, 800 is 2.
Given numbers are 156, 500, 354, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 500) = 19500
GCD(156, 500) = ( 156 x 500 ) / 19500
= 156 / 500
= 156
Step2:
LCM(4, 354) = 708
GCD(4, 354) = ( 4 x 354 ) / 708
= 4 / 354
= 4
Step3:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
So, Greatest Common Divisor of 156, 500, 354, 800 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 500, 354, 800
The greatest common divisor of numbers 156, 500, 354, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 500, 354, 800 is 2.
1. What is the GCD of 156, 500, 354, 800?
GCD of given numbers 156, 500, 354, 800 is 2
2. How to calculate the greatest common divisor of 156, 500, 354, 800?
We can find the highest common divisor of 156, 500, 354, 800 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 156, 500, 354, 800 i.e 2.
3. How can I use the GCD of 156, 500, 354, 800Calculator?
Out the numbers 156, 500, 354, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.