Online GCD Calculator is useful to find the GCD of 567, 858, 339, 693 quickly. Get the easiest ways to solve the greatest common divisor of 567, 858, 339, 693 i.e 3 in different methods as follows.
Given Input numbers are 567, 858, 339, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (567, 858, 339, 693) = 3.
Given numbers are 567, 858, 339, 693
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 339 are 3 x 113
Prime factors of 693 are 3 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 567, 858, 339, 693 is 3.
Given numbers are 567, 858, 339, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 858) = 162162
GCD(567, 858) = ( 567 x 858 ) / 162162
= 567 / 858
= 567
Step2:
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
= 3 / 339
= 3
Step3:
LCM(3, 693) = 693
GCD(3, 693) = ( 3 x 693 ) / 693
= 3 / 693
= 3
So, Greatest Common Divisor of 567, 858, 339, 693 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 858, 339, 693
The greatest common divisor of numbers 567, 858, 339, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 858, 339, 693 is 3.
1. What is the GCD of 567, 858, 339, 693?
GCD of given numbers 567, 858, 339, 693 is 3
2. How to calculate the greatest common divisor of 567, 858, 339, 693?
We can find the highest common divisor of 567, 858, 339, 693 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 567, 858, 339, 693 i.e 3.
3. How can I use the GCD of 567, 858, 339, 693Calculator?
Out the numbers 567, 858, 339, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.