Online GCD Calculator is useful to find the GCD of 690, 420, 548, 164 quickly. Get the easiest ways to solve the greatest common divisor of 690, 420, 548, 164 i.e 2 in different methods as follows.
Given Input numbers are 690, 420, 548, 164
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (690, 420, 548, 164) = 2.
Given numbers are 690, 420, 548, 164
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 548 are 2 x 2 x 137
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 690, 420, 548, 164 is 2.
Given numbers are 690, 420, 548, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 420) = 9660
GCD(690, 420) = ( 690 x 420 ) / 9660
= 690 / 420
= 690
Step2:
LCM(30, 548) = 8220
GCD(30, 548) = ( 30 x 548 ) / 8220
= 30 / 548
= 30
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 690, 420, 548, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 420, 548, 164
The greatest common divisor of numbers 690, 420, 548, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 420, 548, 164 is 2.
1. What is the GCD of 690, 420, 548, 164?
GCD of given numbers 690, 420, 548, 164 is 2
2. How to calculate the greatest common divisor of 690, 420, 548, 164?
We can find the highest common divisor of 690, 420, 548, 164 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, 420, 548, 164 i.e 2.
3. How can I use the GCD of 690, 420, 548, 164Calculator?
Out the numbers 690, 420, 548, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.