GCD of 782, 837, 916, 947 Calculator

Given Input numbers are 782, 837, 916, 947

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 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

GCD of numbers is the greatest common divisor

So, the GCD (782, 837, 916, 947) = 1.

Given numbers are 782, 837, 916, 947

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 916 are 2 x 2 x 229

Prime factors of 947 are 947

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

Given numbers are 782, 837, 916, 947

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

Apply this formula for all numbers.

Step1:

LCM(782, 837) = 654534

GCD(782, 837) = ( 782 x 837 ) / 654534

= 782 / 837

= 782

Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

So, Greatest Common Divisor of 782, 837, 916, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 665, 262, 925
• GCD of 431, 694, 192, 998
• GCD of 167, 574, 887, 729
• GCD of 425, 715, 236, 439
• GCD of 590, 363, 505, 443

Given numbers are 782, 837, 916, 947
The greatest common divisor of numbers 782, 837, 916, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 837, 916, 947 is 1.

1. What is the GCD of 782, 837, 916, 947?

GCD of given numbers 782, 837, 916, 947 is 1

2. How to calculate the greatest common divisor of 782, 837, 916, 947?

We can find the highest common divisor of 782, 837, 916, 947 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, 837, 916, 947 i.e 1.

3. How can I use the GCD of 782, 837, 916, 947Calculator?

Out the numbers 782, 837, 916, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.