GCD of 640, 752, 416, 824 Calculator

Given Input numbers are 640, 752, 416, 824

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

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (640, 752, 416, 824) = 8.

Given numbers are 640, 752, 416, 824

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2³

Therefore, GCD of 640, 752, 416, 824 is 8.

Given numbers are 640, 752, 416, 824

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

Apply this formula for all numbers.

Step1:

LCM(640, 752) = 30080

GCD(640, 752) = ( 640 x 752 ) / 30080

= 640 / 752

= 640

Step2:

LCM(16, 416) = 416

GCD(16, 416) = ( 16 x 416 ) / 416

= 16 / 416

= 16

Step3:

LCM(16, 824) = 1648

GCD(16, 824) = ( 16 x 824 ) / 1648

= 16 / 824

= 16

So, Greatest Common Divisor of 640, 752, 416, 824 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 278, 934, 918
• GCD of 197, 444, 824, 433
• GCD of 670, 802, 489, 917
• GCD of 771, 139, 721, 343
• GCD of 242, 237, 185, 340

Given numbers are 640, 752, 416, 824
The greatest common divisor of numbers 640, 752, 416, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 752, 416, 824 is 8.

1. What is the GCD of 640, 752, 416, 824?

GCD of given numbers 640, 752, 416, 824 is 8

2. How to calculate the greatest common divisor of 640, 752, 416, 824?

We can find the highest common divisor of 640, 752, 416, 824 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 640, 752, 416, 824 i.e 8.

3. How can I use the GCD of 640, 752, 416, 824Calculator?

Out the numbers 640, 752, 416, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.