Online GCD Calculator is useful to find the GCD of 361, 264, 502, 420 quickly. Get the easiest ways to solve the greatest common divisor of 361, 264, 502, 420 i.e 1 in different methods as follows.
Given Input numbers are 361, 264, 502, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
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 (361, 264, 502, 420) = 1.
Given numbers are 361, 264, 502, 420
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 502 are 2 x 251
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 361, 264, 502, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 264) = 95304
GCD(361, 264) = ( 361 x 264 ) / 95304
= 361 / 264
= 361
Step2:
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
= 1 / 502
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 361, 264, 502, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 264, 502, 420
The greatest common divisor of numbers 361, 264, 502, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 264, 502, 420 is 1.
1. What is the GCD of 361, 264, 502, 420?
GCD of given numbers 361, 264, 502, 420 is 1
2. How to calculate the greatest common divisor of 361, 264, 502, 420?
We can find the highest common divisor of 361, 264, 502, 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 361, 264, 502, 420 i.e 1.
3. How can I use the GCD of 361, 264, 502, 420Calculator?
Out the numbers 361, 264, 502, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.