Online GCD Calculator is useful to find the GCD of 342, 156, 652, 564 quickly. Get the easiest ways to solve the greatest common divisor of 342, 156, 652, 564 i.e 2 in different methods as follows.
Given Input numbers are 342, 156, 652, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
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
GCD of numbers is the greatest common divisor
So, the GCD (342, 156, 652, 564) = 2.
Given numbers are 342, 156, 652, 564
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 652 are 2 x 2 x 163
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 342, 156, 652, 564 is 2.
Given numbers are 342, 156, 652, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 156) = 8892
GCD(342, 156) = ( 342 x 156 ) / 8892
= 342 / 156
= 342
Step2:
LCM(6, 652) = 1956
GCD(6, 652) = ( 6 x 652 ) / 1956
= 6 / 652
= 6
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 342, 156, 652, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 156, 652, 564
The greatest common divisor of numbers 342, 156, 652, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 156, 652, 564 is 2.
1. What is the GCD of 342, 156, 652, 564?
GCD of given numbers 342, 156, 652, 564 is 2
2. How to calculate the greatest common divisor of 342, 156, 652, 564?
We can find the highest common divisor of 342, 156, 652, 564 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 342, 156, 652, 564 i.e 2.
3. How can I use the GCD of 342, 156, 652, 564Calculator?
Out the numbers 342, 156, 652, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.