Online GCD Calculator is useful to find the GCD of 494, 772, 284, 142 quickly. Get the easiest ways to solve the greatest common divisor of 494, 772, 284, 142 i.e 2 in different methods as follows.
Given Input numbers are 494, 772, 284, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 (494, 772, 284, 142) = 2.
Given numbers are 494, 772, 284, 142
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 772 are 2 x 2 x 193
Prime factors of 284 are 2 x 2 x 71
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 494, 772, 284, 142 is 2.
Given numbers are 494, 772, 284, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 772) = 190684
GCD(494, 772) = ( 494 x 772 ) / 190684
= 494 / 772
= 494
Step2:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 494, 772, 284, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 772, 284, 142
The greatest common divisor of numbers 494, 772, 284, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 772, 284, 142 is 2.
1. What is the GCD of 494, 772, 284, 142?
GCD of given numbers 494, 772, 284, 142 is 2
2. How to calculate the greatest common divisor of 494, 772, 284, 142?
We can find the highest common divisor of 494, 772, 284, 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 494, 772, 284, 142 i.e 2.
3. How can I use the GCD of 494, 772, 284, 142Calculator?
Out the numbers 494, 772, 284, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.