Online GCD Calculator is useful to find the GCD of 284, 196, 664, 252 quickly. Get the easiest ways to solve the greatest common divisor of 284, 196, 664, 252 i.e 4 in different methods as follows.
Given Input numbers are 284, 196, 664, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (284, 196, 664, 252) = 4.
Given numbers are 284, 196, 664, 252
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 284, 196, 664, 252 is 4.
Given numbers are 284, 196, 664, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 196) = 13916
GCD(284, 196) = ( 284 x 196 ) / 13916
= 284 / 196
= 284
Step2:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
Step3:
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
= 4 / 252
= 4
So, Greatest Common Divisor of 284, 196, 664, 252 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 196, 664, 252
The greatest common divisor of numbers 284, 196, 664, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 196, 664, 252 is 4.
1. What is the GCD of 284, 196, 664, 252?
GCD of given numbers 284, 196, 664, 252 is 4
2. How to calculate the greatest common divisor of 284, 196, 664, 252?
We can find the highest common divisor of 284, 196, 664, 252 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 284, 196, 664, 252 i.e 4.
3. How can I use the GCD of 284, 196, 664, 252Calculator?
Out the numbers 284, 196, 664, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.