Online GCD Calculator is useful to find the GCD of 690, 146, 564, 888 quickly. Get the easiest ways to solve the greatest common divisor of 690, 146, 564, 888 i.e 2 in different methods as follows.
Given Input numbers are 690, 146, 564, 888
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
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 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
GCD of numbers is the greatest common divisor
So, the GCD (690, 146, 564, 888) = 2.
Given numbers are 690, 146, 564, 888
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 146 are 2 x 73
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 690, 146, 564, 888 is 2.
Given numbers are 690, 146, 564, 888
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 146) = 50370
GCD(690, 146) = ( 690 x 146 ) / 50370
= 690 / 146
= 690
Step2:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
Step3:
LCM(2, 888) = 888
GCD(2, 888) = ( 2 x 888 ) / 888
= 2 / 888
= 2
So, Greatest Common Divisor of 690, 146, 564, 888 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 146, 564, 888
The greatest common divisor of numbers 690, 146, 564, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 146, 564, 888 is 2.
1. What is the GCD of 690, 146, 564, 888?
GCD of given numbers 690, 146, 564, 888 is 2
2. How to calculate the greatest common divisor of 690, 146, 564, 888?
We can find the highest common divisor of 690, 146, 564, 888 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 690, 146, 564, 888 i.e 2.
3. How can I use the GCD of 690, 146, 564, 888Calculator?
Out the numbers 690, 146, 564, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.