Online GCD Calculator is useful to find the GCD of 368, 989, 146, 420 quickly. Get the easiest ways to solve the greatest common divisor of 368, 989, 146, 420 i.e 1 in different methods as follows.
Given Input numbers are 368, 989, 146, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
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 (368, 989, 146, 420) = 1.
Given numbers are 368, 989, 146, 420
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 989 are 23 x 43
Prime factors of 146 are 2 x 73
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 368, 989, 146, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 989) = 15824
GCD(368, 989) = ( 368 x 989 ) / 15824
= 368 / 989
= 368
Step2:
LCM(23, 146) = 3358
GCD(23, 146) = ( 23 x 146 ) / 3358
= 23 / 146
= 23
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 368, 989, 146, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 989, 146, 420
The greatest common divisor of numbers 368, 989, 146, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 989, 146, 420 is 1.
1. What is the GCD of 368, 989, 146, 420?
GCD of given numbers 368, 989, 146, 420 is 1
2. How to calculate the greatest common divisor of 368, 989, 146, 420?
We can find the highest common divisor of 368, 989, 146, 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 368, 989, 146, 420 i.e 1.
3. How can I use the GCD of 368, 989, 146, 420Calculator?
Out the numbers 368, 989, 146, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.