GCD of 916, 744, 564, 992 Calculator

Given Input numbers are 916, 744, 564, 992

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (916, 744, 564, 992) = 4.

Given numbers are 916, 744, 564, 992

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2²

Therefore, GCD of 916, 744, 564, 992 is 4.

Given numbers are 916, 744, 564, 992

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

Apply this formula for all numbers.

Step1:

LCM(916, 744) = 170376

GCD(916, 744) = ( 916 x 744 ) / 170376

= 916 / 744

= 916

Step2:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

Step3:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

So, Greatest Common Divisor of 916, 744, 564, 992 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 347, 121, 831
• GCD of 752, 315, 614, 556
• GCD of 895, 812, 322, 297
• GCD of 460, 361, 814, 491
• GCD of 257, 594, 258, 780

Given numbers are 916, 744, 564, 992
The greatest common divisor of numbers 916, 744, 564, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 744, 564, 992 is 4.

1. What is the GCD of 916, 744, 564, 992?

GCD of given numbers 916, 744, 564, 992 is 4

2. How to calculate the greatest common divisor of 916, 744, 564, 992?

We can find the highest common divisor of 916, 744, 564, 992 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 916, 744, 564, 992 i.e 4.

3. How can I use the GCD of 916, 744, 564, 992Calculator?

Out the numbers 916, 744, 564, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.