Online GCD Calculator is useful to find the GCD of 200, 920, 336, 909 quickly. Get the easiest ways to solve the greatest common divisor of 200, 920, 336, 909 i.e 1 in different methods as follows.
Given Input numbers are 200, 920, 336, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (200, 920, 336, 909) = 1.
Given numbers are 200, 920, 336, 909
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 920, 336, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 920) = 4600
GCD(200, 920) = ( 200 x 920 ) / 4600
= 200 / 920
= 200
Step2:
LCM(40, 336) = 1680
GCD(40, 336) = ( 40 x 336 ) / 1680
= 40 / 336
= 40
Step3:
LCM(8, 909) = 7272
GCD(8, 909) = ( 8 x 909 ) / 7272
= 8 / 909
= 8
So, Greatest Common Divisor of 200, 920, 336, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 920, 336, 909
The greatest common divisor of numbers 200, 920, 336, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 920, 336, 909 is 1.
1. What is the GCD of 200, 920, 336, 909?
GCD of given numbers 200, 920, 336, 909 is 1
2. How to calculate the greatest common divisor of 200, 920, 336, 909?
We can find the highest common divisor of 200, 920, 336, 909 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 200, 920, 336, 909 i.e 1.
3. How can I use the GCD of 200, 920, 336, 909Calculator?
Out the numbers 200, 920, 336, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.