GCD of 831, 360, 945, 106 Calculator

Given Input numbers are 831, 360, 945, 106

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 106 :

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

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (831, 360, 945, 106) = 1.

Given numbers are 831, 360, 945, 106

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 106 are 2 x 53

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

Given numbers are 831, 360, 945, 106

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

Apply this formula for all numbers.

Step1:

LCM(831, 360) = 99720

GCD(831, 360) = ( 831 x 360 ) / 99720

= 831 / 360

= 831

Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

Step3:

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

= 3 / 106

= 3

So, Greatest Common Divisor of 831, 360, 945, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 549, 812, 109
• GCD of 450, 721, 673, 894
• GCD of 899, 554, 785, 147
• GCD of 255, 562, 833, 585
• GCD of 775, 294, 705, 788

Given numbers are 831, 360, 945, 106
The greatest common divisor of numbers 831, 360, 945, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 360, 945, 106 is 1.

1. What is the GCD of 831, 360, 945, 106?

GCD of given numbers 831, 360, 945, 106 is 1

2. How to calculate the greatest common divisor of 831, 360, 945, 106?

We can find the highest common divisor of 831, 360, 945, 106 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 831, 360, 945, 106 i.e 1.

3. How can I use the GCD of 831, 360, 945, 106Calculator?

Out the numbers 831, 360, 945, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.