Online GCD Calculator is useful to find the GCD of 420, 514, 133, 187 quickly. Get the easiest ways to solve the greatest common divisor of 420, 514, 133, 187 i.e 1 in different methods as follows.
Given Input numbers are 420, 514, 133, 187
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 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
GCD of numbers is the greatest common divisor
So, the GCD (420, 514, 133, 187) = 1.
Given numbers are 420, 514, 133, 187
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 514 are 2 x 257
Prime factors of 133 are 7 x 19
Prime factors of 187 are 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 514, 133, 187
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 514) = 107940
GCD(420, 514) = ( 420 x 514 ) / 107940
= 420 / 514
= 420
Step2:
LCM(2, 133) = 266
GCD(2, 133) = ( 2 x 133 ) / 266
= 2 / 133
= 2
Step3:
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
= 1 / 187
= 1
So, Greatest Common Divisor of 420, 514, 133, 187 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 514, 133, 187
The greatest common divisor of numbers 420, 514, 133, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 514, 133, 187 is 1.
1. What is the GCD of 420, 514, 133, 187?
GCD of given numbers 420, 514, 133, 187 is 1
2. How to calculate the greatest common divisor of 420, 514, 133, 187?
We can find the highest common divisor of 420, 514, 133, 187 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, 514, 133, 187 i.e 1.
3. How can I use the GCD of 420, 514, 133, 187Calculator?
Out the numbers 420, 514, 133, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.