Online GCD Calculator is useful to find the GCD of 476, 520, 286, 200 quickly. Get the easiest ways to solve the greatest common divisor of 476, 520, 286, 200 i.e 2 in different methods as follows.
Given Input numbers are 476, 520, 286, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
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
GCD of numbers is the greatest common divisor
So, the GCD (476, 520, 286, 200) = 2.
Given numbers are 476, 520, 286, 200
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 286 are 2 x 11 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 476, 520, 286, 200 is 2.
Given numbers are 476, 520, 286, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 520) = 61880
GCD(476, 520) = ( 476 x 520 ) / 61880
= 476 / 520
= 476
Step2:
LCM(4, 286) = 572
GCD(4, 286) = ( 4 x 286 ) / 572
= 4 / 286
= 4
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 476, 520, 286, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 520, 286, 200
The greatest common divisor of numbers 476, 520, 286, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 520, 286, 200 is 2.
1. What is the GCD of 476, 520, 286, 200?
GCD of given numbers 476, 520, 286, 200 is 2
2. How to calculate the greatest common divisor of 476, 520, 286, 200?
We can find the highest common divisor of 476, 520, 286, 200 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 476, 520, 286, 200 i.e 2.
3. How can I use the GCD of 476, 520, 286, 200Calculator?
Out the numbers 476, 520, 286, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.