Online GCD Calculator is useful to find the GCD of 690, 568, 652, 920 quickly. Get the easiest ways to solve the greatest common divisor of 690, 568, 652, 920 i.e 2 in different methods as follows.
Given Input numbers are 690, 568, 652, 920
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 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (690, 568, 652, 920) = 2.
Given numbers are 690, 568, 652, 920
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 652 are 2 x 2 x 163
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 690, 568, 652, 920 is 2.
Given numbers are 690, 568, 652, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 568) = 195960
GCD(690, 568) = ( 690 x 568 ) / 195960
= 690 / 568
= 690
Step2:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 690, 568, 652, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 568, 652, 920
The greatest common divisor of numbers 690, 568, 652, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 568, 652, 920 is 2.
1. What is the GCD of 690, 568, 652, 920?
GCD of given numbers 690, 568, 652, 920 is 2
2. How to calculate the greatest common divisor of 690, 568, 652, 920?
We can find the highest common divisor of 690, 568, 652, 920 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, 568, 652, 920 i.e 2.
3. How can I use the GCD of 690, 568, 652, 920Calculator?
Out the numbers 690, 568, 652, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.