GCD of 784, 912, 140, 471 Calculator

Given Input numbers are 784, 912, 140, 471

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (784, 912, 140, 471) = 1.

Given numbers are 784, 912, 140, 471

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 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 471 are 3 x 157

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

Given numbers are 784, 912, 140, 471

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

Apply this formula for all numbers.

Step1:

LCM(784, 912) = 44688

GCD(784, 912) = ( 784 x 912 ) / 44688

= 784 / 912

= 784

Step2:

LCM(16, 140) = 560

GCD(16, 140) = ( 16 x 140 ) / 560

= 16 / 140

= 16

Step3:

LCM(4, 471) = 1884

GCD(4, 471) = ( 4 x 471 ) / 1884

= 4 / 471

= 4

So, Greatest Common Divisor of 784, 912, 140, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 602, 830, 180
• GCD of 305, 571, 466, 680
• GCD of 879, 692, 235, 474
• GCD of 940, 529, 278, 964
• GCD of 572, 566, 930, 723

Given numbers are 784, 912, 140, 471
The greatest common divisor of numbers 784, 912, 140, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 912, 140, 471 is 1.

1. What is the GCD of 784, 912, 140, 471?

GCD of given numbers 784, 912, 140, 471 is 1

2. How to calculate the greatest common divisor of 784, 912, 140, 471?

We can find the highest common divisor of 784, 912, 140, 471 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, 912, 140, 471 i.e 1.

3. How can I use the GCD of 784, 912, 140, 471Calculator?

Out the numbers 784, 912, 140, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.