Online GCD Calculator is useful to find the GCD of 420, 533, 164, 974 quickly. Get the easiest ways to solve the greatest common divisor of 420, 533, 164, 974 i.e 1 in different methods as follows.
Given Input numbers are 420, 533, 164, 974
In the factoring method, we have to find the divisors of all numbers
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 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (420, 533, 164, 974) = 1.
Given numbers are 420, 533, 164, 974
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 533 are 13 x 41
Prime factors of 164 are 2 x 2 x 41
Prime factors of 974 are 2 x 487
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 533, 164, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 533) = 223860
GCD(420, 533) = ( 420 x 533 ) / 223860
= 420 / 533
= 420
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
= 1 / 974
= 1
So, Greatest Common Divisor of 420, 533, 164, 974 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 533, 164, 974
The greatest common divisor of numbers 420, 533, 164, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 533, 164, 974 is 1.
1. What is the GCD of 420, 533, 164, 974?
GCD of given numbers 420, 533, 164, 974 is 1
2. How to calculate the greatest common divisor of 420, 533, 164, 974?
We can find the highest common divisor of 420, 533, 164, 974 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 420, 533, 164, 974 i.e 1.
3. How can I use the GCD of 420, 533, 164, 974Calculator?
Out the numbers 420, 533, 164, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.