Online GCD Calculator is useful to find the GCD of 564, 658, 290, 156 quickly. Get the easiest ways to solve the greatest common divisor of 564, 658, 290, 156 i.e 2 in different methods as follows.
Given Input numbers are 564, 658, 290, 156
In the factoring method, we have to find the divisors of all numbers
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 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (564, 658, 290, 156) = 2.
Given numbers are 564, 658, 290, 156
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 658 are 2 x 7 x 47
Prime factors of 290 are 2 x 5 x 29
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 564, 658, 290, 156 is 2.
Given numbers are 564, 658, 290, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 658) = 3948
GCD(564, 658) = ( 564 x 658 ) / 3948
= 564 / 658
= 564
Step2:
LCM(94, 290) = 13630
GCD(94, 290) = ( 94 x 290 ) / 13630
= 94 / 290
= 94
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 564, 658, 290, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 658, 290, 156
The greatest common divisor of numbers 564, 658, 290, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 658, 290, 156 is 2.
1. What is the GCD of 564, 658, 290, 156?
GCD of given numbers 564, 658, 290, 156 is 2
2. How to calculate the greatest common divisor of 564, 658, 290, 156?
We can find the highest common divisor of 564, 658, 290, 156 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 564, 658, 290, 156 i.e 2.
3. How can I use the GCD of 564, 658, 290, 156Calculator?
Out the numbers 564, 658, 290, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.