GCD of 782, 407, 120, 984 Calculator

Given Input numbers are 782, 407, 120, 984

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (782, 407, 120, 984) = 1.

Given numbers are 782, 407, 120, 984

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 407 are 11 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 782, 407, 120, 984

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

Apply this formula for all numbers.

Step1:

LCM(782, 407) = 318274

GCD(782, 407) = ( 782 x 407 ) / 318274

= 782 / 407

= 782

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 782, 407, 120, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 360, 865, 406
• GCD of 117, 540, 966, 909
• GCD of 735, 512, 123, 679
• GCD of 982, 246, 932, 197
• GCD of 583, 380, 758, 905

Given numbers are 782, 407, 120, 984
The greatest common divisor of numbers 782, 407, 120, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 407, 120, 984 is 1.

1. What is the GCD of 782, 407, 120, 984?

GCD of given numbers 782, 407, 120, 984 is 1

2. How to calculate the greatest common divisor of 782, 407, 120, 984?

We can find the highest common divisor of 782, 407, 120, 984 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, 407, 120, 984 i.e 1.

3. How can I use the GCD of 782, 407, 120, 984Calculator?

Out the numbers 782, 407, 120, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.