Online GCD Calculator is useful to find the GCD of 684, 564, 900, 460 quickly. Get the easiest ways to solve the greatest common divisor of 684, 564, 900, 460 i.e 4 in different methods as follows.
Given Input numbers are 684, 564, 900, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (684, 564, 900, 460) = 4.
Given numbers are 684, 564, 900, 460
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 22
Therefore, GCD of 684, 564, 900, 460 is 4.
Given numbers are 684, 564, 900, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 564) = 32148
GCD(684, 564) = ( 684 x 564 ) / 32148
= 684 / 564
= 684
Step2:
LCM(12, 900) = 900
GCD(12, 900) = ( 12 x 900 ) / 900
= 12 / 900
= 12
Step3:
LCM(12, 460) = 1380
GCD(12, 460) = ( 12 x 460 ) / 1380
= 12 / 460
= 12
So, Greatest Common Divisor of 684, 564, 900, 460 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 564, 900, 460
The greatest common divisor of numbers 684, 564, 900, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 564, 900, 460 is 4.
1. What is the GCD of 684, 564, 900, 460?
GCD of given numbers 684, 564, 900, 460 is 4
2. How to calculate the greatest common divisor of 684, 564, 900, 460?
We can find the highest common divisor of 684, 564, 900, 460 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 684, 564, 900, 460 i.e 4.
3. How can I use the GCD of 684, 564, 900, 460Calculator?
Out the numbers 684, 564, 900, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.