GCD of 976, 304, 784 Calculator

Given Input numbers are 976, 304, 784

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

GCD of numbers is the greatest common divisor

So, the GCD (976, 304, 784) = 16.

Given numbers are 976, 304, 784

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

The highest common occurrence is 2⁴

Therefore, GCD of 976, 304, 784 is 16.

Given numbers are 976, 304, 784

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

Apply this formula for all numbers.

Step1:

LCM(976, 304) = 18544

GCD(976, 304) = ( 976 x 304 ) / 18544

= 976 / 304

= 976

Step2:

LCM(16, 784) = 784

GCD(16, 784) = ( 16 x 784 ) / 784

= 16 / 784

= 16

So, Greatest Common Divisor of 976, 304, 784 is 16

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 843, 720
• GCD of 830, 939, 926
• GCD of 666, 614, 156
• GCD of 273, 397, 640
• GCD of 231, 904, 660

Given numbers are 976, 304, 784
The greatest common divisor of numbers 976, 304, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 304, 784 is 16.

1. What is the GCD of 976, 304, 784?

GCD of given numbers 976, 304, 784 is 16

2. How to calculate the greatest common divisor of 976, 304, 784?

We can find the highest common divisor of 976, 304, 784 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 976, 304, 784 i.e 16.

3. How can I use the GCD of 976, 304, 784Calculator?

Out the numbers 976, 304, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.