GCD of 826, 442, 653, 360 Calculator

Given Input numbers are 826, 442, 653, 360

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (826, 442, 653, 360) = 1.

Given numbers are 826, 442, 653, 360

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 442 are 2 x 13 x 17

Prime factors of 653 are 653

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 826, 442, 653, 360

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

Apply this formula for all numbers.

Step1:

LCM(826, 442) = 182546

GCD(826, 442) = ( 826 x 442 ) / 182546

= 826 / 442

= 826

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 826, 442, 653, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 602, 876, 196
• GCD of 372, 518, 116, 452
• GCD of 251, 562, 971, 998
• GCD of 745, 961, 724, 893
• GCD of 875, 597, 823, 333

Given numbers are 826, 442, 653, 360
The greatest common divisor of numbers 826, 442, 653, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 442, 653, 360 is 1.

1. What is the GCD of 826, 442, 653, 360?

GCD of given numbers 826, 442, 653, 360 is 1

2. How to calculate the greatest common divisor of 826, 442, 653, 360?

We can find the highest common divisor of 826, 442, 653, 360 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 826, 442, 653, 360 i.e 1.

3. How can I use the GCD of 826, 442, 653, 360Calculator?

Out the numbers 826, 442, 653, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.