Online GCD Calculator is useful to find the GCD of 284, 944, 821, 142 quickly. Get the easiest ways to solve the greatest common divisor of 284, 944, 821, 142 i.e 1 in different methods as follows.
Given Input numbers are 284, 944, 821, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (284, 944, 821, 142) = 1.
Given numbers are 284, 944, 821, 142
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 821 are 821
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 284, 944, 821, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 944) = 67024
GCD(284, 944) = ( 284 x 944 ) / 67024
= 284 / 944
= 284
Step2:
LCM(4, 821) = 3284
GCD(4, 821) = ( 4 x 821 ) / 3284
= 4 / 821
= 4
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 284, 944, 821, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 944, 821, 142
The greatest common divisor of numbers 284, 944, 821, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 944, 821, 142 is 1.
1. What is the GCD of 284, 944, 821, 142?
GCD of given numbers 284, 944, 821, 142 is 1
2. How to calculate the greatest common divisor of 284, 944, 821, 142?
We can find the highest common divisor of 284, 944, 821, 142 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 284, 944, 821, 142 i.e 1.
3. How can I use the GCD of 284, 944, 821, 142Calculator?
Out the numbers 284, 944, 821, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.