GCD of 784, 120, 38, 893 Calculator

Given Input numbers are 784, 120, 38, 893

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

GCD of numbers is the greatest common divisor

So, the GCD (784, 120, 38, 893) = 1.

Given numbers are 784, 120, 38, 893

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Prime factors of 38 are 2 x 19

Prime factors of 893 are 19 x 47

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

Given numbers are 784, 120, 38, 893

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

Apply this formula for all numbers.

Step1:

LCM(784, 120) = 11760

GCD(784, 120) = ( 784 x 120 ) / 11760

= 784 / 120

= 784

Step2:

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

= 8 / 38

= 8

Step3:

LCM(2, 893) = 1786

GCD(2, 893) = ( 2 x 893 ) / 1786

= 2 / 893

= 2

So, Greatest Common Divisor of 784, 120, 38, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 408, 40, 618
• GCD of 811, 472, 26, 940
• GCD of 840, 127, 90, 927
• GCD of 492, 955, 29, 417
• GCD of 263, 745, 17, 173

Given numbers are 784, 120, 38, 893
The greatest common divisor of numbers 784, 120, 38, 893 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 120, 38, 893 is 1.

1. What is the GCD of 784, 120, 38, 893?

GCD of given numbers 784, 120, 38, 893 is 1

2. How to calculate the greatest common divisor of 784, 120, 38, 893?

We can find the highest common divisor of 784, 120, 38, 893 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 784, 120, 38, 893 i.e 1.

3. How can I use the GCD of 784, 120, 38, 893Calculator?

Out the numbers 784, 120, 38, 893 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.