Online GCD Calculator is useful to find the GCD of 142, 600, 985, 321 quickly. Get the easiest ways to solve the greatest common divisor of 142, 600, 985, 321 i.e 1 in different methods as follows.
Given Input numbers are 142, 600, 985, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (142, 600, 985, 321) = 1.
Given numbers are 142, 600, 985, 321
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 985 are 5 x 197
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 600, 985, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 600) = 42600
GCD(142, 600) = ( 142 x 600 ) / 42600
= 142 / 600
= 142
Step2:
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
= 2 / 985
= 2
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 142, 600, 985, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 600, 985, 321
The greatest common divisor of numbers 142, 600, 985, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 600, 985, 321 is 1.
1. What is the GCD of 142, 600, 985, 321?
GCD of given numbers 142, 600, 985, 321 is 1
2. How to calculate the greatest common divisor of 142, 600, 985, 321?
We can find the highest common divisor of 142, 600, 985, 321 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 142, 600, 985, 321 i.e 1.
3. How can I use the GCD of 142, 600, 985, 321Calculator?
Out the numbers 142, 600, 985, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.