GCD of 428, 321, 250, 782 Calculator

Given Input numbers are 428, 321, 250, 782

In the factoring method, we have to find the divisors of all numbers

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (428, 321, 250, 782) = 1.

Given numbers are 428, 321, 250, 782

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 321 are 3 x 107

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 782 are 2 x 17 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 428, 321, 250, 782

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(428, 321) = 1284

GCD(428, 321) = ( 428 x 321 ) / 1284

= 428 / 321

= 428

Step2:

LCM(107, 250) = 26750

GCD(107, 250) = ( 107 x 250 ) / 26750

= 107 / 250

= 107

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 428, 321, 250, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 496, 156, 691
• GCD of 413, 676, 933, 767
• GCD of 326, 751, 670, 568
• GCD of 602, 995, 605, 971
• GCD of 688, 380, 639, 312

Given numbers are 428, 321, 250, 782
The greatest common divisor of numbers 428, 321, 250, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 321, 250, 782 is 1.

1. What is the GCD of 428, 321, 250, 782?

GCD of given numbers 428, 321, 250, 782 is 1

2. How to calculate the greatest common divisor of 428, 321, 250, 782?

We can find the highest common divisor of 428, 321, 250, 782 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 428, 321, 250, 782 i.e 1.

3. How can I use the GCD of 428, 321, 250, 782Calculator?

Out the numbers 428, 321, 250, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.