GCD of 968, 259, 828, 420 Calculator

Given Input numbers are 968, 259, 828, 420

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (968, 259, 828, 420) = 1.

Given numbers are 968, 259, 828, 420

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 259 are 7 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 968, 259, 828, 420

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

Apply this formula for all numbers.

Step1:

LCM(968, 259) = 250712

GCD(968, 259) = ( 968 x 259 ) / 250712

= 968 / 259

= 968

Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 968, 259, 828, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 534, 351, 335
• GCD of 681, 393, 331, 450
• GCD of 267, 477, 699, 568
• GCD of 909, 400, 239, 370
• GCD of 546, 631, 687, 526

Given numbers are 968, 259, 828, 420
The greatest common divisor of numbers 968, 259, 828, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 259, 828, 420 is 1.

1. What is the GCD of 968, 259, 828, 420?

GCD of given numbers 968, 259, 828, 420 is 1

2. How to calculate the greatest common divisor of 968, 259, 828, 420?

We can find the highest common divisor of 968, 259, 828, 420 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 968, 259, 828, 420 i.e 1.

3. How can I use the GCD of 968, 259, 828, 420Calculator?

Out the numbers 968, 259, 828, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.