Online GCD Calculator is useful to find the GCD of 200, 280, 474, 336 quickly. Get the easiest ways to solve the greatest common divisor of 200, 280, 474, 336 i.e 2 in different methods as follows.
Given Input numbers are 200, 280, 474, 336
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
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
GCD of numbers is the greatest common divisor
So, the GCD (200, 280, 474, 336) = 2.
Given numbers are 200, 280, 474, 336
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 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 474 are 2 x 3 x 79
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 200, 280, 474, 336 is 2.
Given numbers are 200, 280, 474, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 280) = 1400
GCD(200, 280) = ( 200 x 280 ) / 1400
= 200 / 280
= 200
Step2:
LCM(40, 474) = 9480
GCD(40, 474) = ( 40 x 474 ) / 9480
= 40 / 474
= 40
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 200, 280, 474, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 280, 474, 336
The greatest common divisor of numbers 200, 280, 474, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 280, 474, 336 is 2.
1. What is the GCD of 200, 280, 474, 336?
GCD of given numbers 200, 280, 474, 336 is 2
2. How to calculate the greatest common divisor of 200, 280, 474, 336?
We can find the highest common divisor of 200, 280, 474, 336 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, 280, 474, 336 i.e 2.
3. How can I use the GCD of 200, 280, 474, 336Calculator?
Out the numbers 200, 280, 474, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.