Online GCD Calculator is useful to find the GCD of 360, 676, 200, 496 quickly. Get the easiest ways to solve the greatest common divisor of 360, 676, 200, 496 i.e 4 in different methods as follows.
Given Input numbers are 360, 676, 200, 496
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (360, 676, 200, 496) = 4.
Given numbers are 360, 676, 200, 496
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 360, 676, 200, 496 is 4.
Given numbers are 360, 676, 200, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 676) = 60840
GCD(360, 676) = ( 360 x 676 ) / 60840
= 360 / 676
= 360
Step2:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
Step3:
LCM(4, 496) = 496
GCD(4, 496) = ( 4 x 496 ) / 496
= 4 / 496
= 4
So, Greatest Common Divisor of 360, 676, 200, 496 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 676, 200, 496
The greatest common divisor of numbers 360, 676, 200, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 676, 200, 496 is 4.
1. What is the GCD of 360, 676, 200, 496?
GCD of given numbers 360, 676, 200, 496 is 4
2. How to calculate the greatest common divisor of 360, 676, 200, 496?
We can find the highest common divisor of 360, 676, 200, 496 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 360, 676, 200, 496 i.e 4.
3. How can I use the GCD of 360, 676, 200, 496Calculator?
Out the numbers 360, 676, 200, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.