Online GCD Calculator is useful to find the GCD of 500, 874, 578, 426 quickly. Get the easiest ways to solve the greatest common divisor of 500, 874, 578, 426 i.e 2 in different methods as follows.
Given Input numbers are 500, 874, 578, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (500, 874, 578, 426) = 2.
Given numbers are 500, 874, 578, 426
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 874 are 2 x 19 x 23
Prime factors of 578 are 2 x 17 x 17
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 500, 874, 578, 426 is 2.
Given numbers are 500, 874, 578, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 874) = 218500
GCD(500, 874) = ( 500 x 874 ) / 218500
= 500 / 874
= 500
Step2:
LCM(2, 578) = 578
GCD(2, 578) = ( 2 x 578 ) / 578
= 2 / 578
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 500, 874, 578, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 874, 578, 426
The greatest common divisor of numbers 500, 874, 578, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 874, 578, 426 is 2.
1. What is the GCD of 500, 874, 578, 426?
GCD of given numbers 500, 874, 578, 426 is 2
2. How to calculate the greatest common divisor of 500, 874, 578, 426?
We can find the highest common divisor of 500, 874, 578, 426 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 500, 874, 578, 426 i.e 2.
3. How can I use the GCD of 500, 874, 578, 426Calculator?
Out the numbers 500, 874, 578, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.