GCD of 996, 578, 640, 748 Calculator

Given Input numbers are 996, 578, 640, 748

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (996, 578, 640, 748) = 2.

Given numbers are 996, 578, 640, 748

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 578 are 2 x 17 x 17

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 996, 578, 640, 748 is 2.

Given numbers are 996, 578, 640, 748

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

Apply this formula for all numbers.

Step1:

LCM(996, 578) = 287844

GCD(996, 578) = ( 996 x 578 ) / 287844

= 996 / 578

= 996

Step2:

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

= 2 / 640

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 996, 578, 640, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 662, 703, 949
• GCD of 300, 246, 433, 147
• GCD of 899, 591, 532, 375
• GCD of 643, 297, 705, 440
• GCD of 584, 352, 773, 252

Given numbers are 996, 578, 640, 748
The greatest common divisor of numbers 996, 578, 640, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 578, 640, 748 is 2.

1. What is the GCD of 996, 578, 640, 748?

GCD of given numbers 996, 578, 640, 748 is 2

2. How to calculate the greatest common divisor of 996, 578, 640, 748?

We can find the highest common divisor of 996, 578, 640, 748 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 996, 578, 640, 748 i.e 2.

3. How can I use the GCD of 996, 578, 640, 748Calculator?

Out the numbers 996, 578, 640, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.