GCD of 784, 908, 634, 464 Calculator

Given Input numbers are 784, 908, 634, 464

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (784, 908, 634, 464) = 2.

Given numbers are 784, 908, 634, 464

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 908 are 2 x 2 x 227

Prime factors of 634 are 2 x 317

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 784, 908, 634, 464 is 2.

Given numbers are 784, 908, 634, 464

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

Apply this formula for all numbers.

Step1:

LCM(784, 908) = 177968

GCD(784, 908) = ( 784 x 908 ) / 177968

= 784 / 908

= 784

Step2:

LCM(4, 634) = 1268

GCD(4, 634) = ( 4 x 634 ) / 1268

= 4 / 634

= 4

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 784, 908, 634, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 443, 358, 743
• GCD of 841, 872, 175, 154
• GCD of 709, 449, 424, 203
• GCD of 797, 215, 680, 557
• GCD of 207, 643, 670, 154

Given numbers are 784, 908, 634, 464
The greatest common divisor of numbers 784, 908, 634, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 908, 634, 464 is 2.

1. What is the GCD of 784, 908, 634, 464?

GCD of given numbers 784, 908, 634, 464 is 2

2. How to calculate the greatest common divisor of 784, 908, 634, 464?

We can find the highest common divisor of 784, 908, 634, 464 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, 908, 634, 464 i.e 2.

3. How can I use the GCD of 784, 908, 634, 464Calculator?

Out the numbers 784, 908, 634, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.