GCD of 716, 256, 732, 380 Calculator

Given Input numbers are 716, 256, 732, 380

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (716, 256, 732, 380) = 4.

Given numbers are 716, 256, 732, 380

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2²

Therefore, GCD of 716, 256, 732, 380 is 4.

Given numbers are 716, 256, 732, 380

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

Apply this formula for all numbers.

Step1:

LCM(716, 256) = 45824

GCD(716, 256) = ( 716 x 256 ) / 45824

= 716 / 256

= 716

Step2:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

Step3:

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

= 4 / 380

= 4

So, Greatest Common Divisor of 716, 256, 732, 380 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 651, 141, 454
• GCD of 162, 899, 827, 983
• GCD of 765, 679, 102, 336
• GCD of 854, 344, 256, 603
• GCD of 106, 658, 166, 451

Given numbers are 716, 256, 732, 380
The greatest common divisor of numbers 716, 256, 732, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 256, 732, 380 is 4.

1. What is the GCD of 716, 256, 732, 380?

GCD of given numbers 716, 256, 732, 380 is 4

2. How to calculate the greatest common divisor of 716, 256, 732, 380?

We can find the highest common divisor of 716, 256, 732, 380 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 716, 256, 732, 380 i.e 4.

3. How can I use the GCD of 716, 256, 732, 380Calculator?

Out the numbers 716, 256, 732, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.