GCD of 782, 332, 108, 440 Calculator

Given Input numbers are 782, 332, 108, 440

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

Divisors of 782 :

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

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

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (782, 332, 108, 440) = 2.

Given numbers are 782, 332, 108, 440

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 332 are 2 x 2 x 83

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 782, 332, 108, 440 is 2.

Given numbers are 782, 332, 108, 440

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

Apply this formula for all numbers.

Step1:

LCM(782, 332) = 129812

GCD(782, 332) = ( 782 x 332 ) / 129812

= 782 / 332

= 782

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 782, 332, 108, 440 is 2

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Given numbers are 782, 332, 108, 440
The greatest common divisor of numbers 782, 332, 108, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 332, 108, 440 is 2.

1. What is the GCD of 782, 332, 108, 440?

GCD of given numbers 782, 332, 108, 440 is 2

2. How to calculate the greatest common divisor of 782, 332, 108, 440?

We can find the highest common divisor of 782, 332, 108, 440 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 782, 332, 108, 440 i.e 2.

3. How can I use the GCD of 782, 332, 108, 440Calculator?

Out the numbers 782, 332, 108, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.