Online GCD Calculator is useful to find the GCD of 102, 669, 918, 564 quickly. Get the easiest ways to solve the greatest common divisor of 102, 669, 918, 564 i.e 3 in different methods as follows.
Given Input numbers are 102, 669, 918, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 (102, 669, 918, 564) = 3.
Given numbers are 102, 669, 918, 564
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 669 are 3 x 223
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 102, 669, 918, 564 is 3.
Given numbers are 102, 669, 918, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 669) = 22746
GCD(102, 669) = ( 102 x 669 ) / 22746
= 102 / 669
= 102
Step2:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 102, 669, 918, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 669, 918, 564
The greatest common divisor of numbers 102, 669, 918, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 669, 918, 564 is 3.
1. What is the GCD of 102, 669, 918, 564?
GCD of given numbers 102, 669, 918, 564 is 3
2. How to calculate the greatest common divisor of 102, 669, 918, 564?
We can find the highest common divisor of 102, 669, 918, 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 102, 669, 918, 564 i.e 3.
3. How can I use the GCD of 102, 669, 918, 564Calculator?
Out the numbers 102, 669, 918, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.