Online GCD Calculator is useful to find the GCD of 690, 130, 602, 180 quickly. Get the easiest ways to solve the greatest common divisor of 690, 130, 602, 180 i.e 2 in different methods as follows.
Given Input numbers are 690, 130, 602, 180
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 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (690, 130, 602, 180) = 2.
Given numbers are 690, 130, 602, 180
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 602 are 2 x 7 x 43
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 690, 130, 602, 180 is 2.
Given numbers are 690, 130, 602, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 130) = 8970
GCD(690, 130) = ( 690 x 130 ) / 8970
= 690 / 130
= 690
Step2:
LCM(10, 602) = 3010
GCD(10, 602) = ( 10 x 602 ) / 3010
= 10 / 602
= 10
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 690, 130, 602, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 130, 602, 180
The greatest common divisor of numbers 690, 130, 602, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 130, 602, 180 is 2.
1. What is the GCD of 690, 130, 602, 180?
GCD of given numbers 690, 130, 602, 180 is 2
2. How to calculate the greatest common divisor of 690, 130, 602, 180?
We can find the highest common divisor of 690, 130, 602, 180 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, 130, 602, 180 i.e 2.
3. How can I use the GCD of 690, 130, 602, 180Calculator?
Out the numbers 690, 130, 602, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.