GCD of 426, 106, 409, 960 Calculator

Given Input numbers are 426, 106, 409, 960

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (426, 106, 409, 960) = 1.

Given numbers are 426, 106, 409, 960

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 106 are 2 x 53

Prime factors of 409 are 409

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 426, 106, 409, 960

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

Apply this formula for all numbers.

Step1:

LCM(426, 106) = 22578

GCD(426, 106) = ( 426 x 106 ) / 22578

= 426 / 106

= 426

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 426, 106, 409, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 326, 312, 569
• GCD of 446, 265, 934, 539
• GCD of 486, 353, 648, 755
• GCD of 271, 502, 919, 550
• GCD of 695, 540, 953, 373

Given numbers are 426, 106, 409, 960
The greatest common divisor of numbers 426, 106, 409, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 106, 409, 960 is 1.

1. What is the GCD of 426, 106, 409, 960?

GCD of given numbers 426, 106, 409, 960 is 1

2. How to calculate the greatest common divisor of 426, 106, 409, 960?

We can find the highest common divisor of 426, 106, 409, 960 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 426, 106, 409, 960 i.e 1.

3. How can I use the GCD of 426, 106, 409, 960Calculator?

Out the numbers 426, 106, 409, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.