Online GCD Calculator is useful to find the GCD of 133, 978, 588, 420 quickly. Get the easiest ways to solve the greatest common divisor of 133, 978, 588, 420 i.e 1 in different methods as follows.
Given Input numbers are 133, 978, 588, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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
GCD of numbers is the greatest common divisor
So, the GCD (133, 978, 588, 420) = 1.
Given numbers are 133, 978, 588, 420
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 978 are 2 x 3 x 163
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 978, 588, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 978) = 130074
GCD(133, 978) = ( 133 x 978 ) / 130074
= 133 / 978
= 133
Step2:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 133, 978, 588, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 978, 588, 420
The greatest common divisor of numbers 133, 978, 588, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 978, 588, 420 is 1.
1. What is the GCD of 133, 978, 588, 420?
GCD of given numbers 133, 978, 588, 420 is 1
2. How to calculate the greatest common divisor of 133, 978, 588, 420?
We can find the highest common divisor of 133, 978, 588, 420 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 133, 978, 588, 420 i.e 1.
3. How can I use the GCD of 133, 978, 588, 420Calculator?
Out the numbers 133, 978, 588, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.