Online GCD Calculator is useful to find the GCD of 890, 564, 420, 284 quickly. Get the easiest ways to solve the greatest common divisor of 890, 564, 420, 284 i.e 2 in different methods as follows.
Given Input numbers are 890, 564, 420, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (890, 564, 420, 284) = 2.
Given numbers are 890, 564, 420, 284
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 890, 564, 420, 284 is 2.
Given numbers are 890, 564, 420, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 564) = 250980
GCD(890, 564) = ( 890 x 564 ) / 250980
= 890 / 564
= 890
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 890, 564, 420, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 564, 420, 284
The greatest common divisor of numbers 890, 564, 420, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 564, 420, 284 is 2.
1. What is the GCD of 890, 564, 420, 284?
GCD of given numbers 890, 564, 420, 284 is 2
2. How to calculate the greatest common divisor of 890, 564, 420, 284?
We can find the highest common divisor of 890, 564, 420, 284 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 890, 564, 420, 284 i.e 2.
3. How can I use the GCD of 890, 564, 420, 284Calculator?
Out the numbers 890, 564, 420, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.