Online GCD Calculator is useful to find the GCD of 567, 624, 981, 768 quickly. Get the easiest ways to solve the greatest common divisor of 567, 624, 981, 768 i.e 3 in different methods as follows.
Given Input numbers are 567, 624, 981, 768
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (567, 624, 981, 768) = 3.
Given numbers are 567, 624, 981, 768
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 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 981 are 3 x 3 x 109
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 567, 624, 981, 768 is 3.
Given numbers are 567, 624, 981, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 624) = 117936
GCD(567, 624) = ( 567 x 624 ) / 117936
= 567 / 624
= 567
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 768) = 768
GCD(3, 768) = ( 3 x 768 ) / 768
= 3 / 768
= 3
So, Greatest Common Divisor of 567, 624, 981, 768 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 624, 981, 768
The greatest common divisor of numbers 567, 624, 981, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 624, 981, 768 is 3.
1. What is the GCD of 567, 624, 981, 768?
GCD of given numbers 567, 624, 981, 768 is 3
2. How to calculate the greatest common divisor of 567, 624, 981, 768?
We can find the highest common divisor of 567, 624, 981, 768 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, 624, 981, 768 i.e 3.
3. How can I use the GCD of 567, 624, 981, 768Calculator?
Out the numbers 567, 624, 981, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.