GCD of 752, 318, 200, 826 Calculator

Given Input numbers are 752, 318, 200, 826

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

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (752, 318, 200, 826) = 2.

Given numbers are 752, 318, 200, 826

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 752, 318, 200, 826 is 2.

Given numbers are 752, 318, 200, 826

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

Apply this formula for all numbers.

Step1:

LCM(752, 318) = 119568

GCD(752, 318) = ( 752 x 318 ) / 119568

= 752 / 318

= 752

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 752, 318, 200, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 374, 426, 849
• GCD of 118, 808, 733, 444
• GCD of 925, 747, 460, 311
• GCD of 460, 949, 633, 384
• GCD of 113, 916, 288, 803

Given numbers are 752, 318, 200, 826
The greatest common divisor of numbers 752, 318, 200, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 318, 200, 826 is 2.

1. What is the GCD of 752, 318, 200, 826?

GCD of given numbers 752, 318, 200, 826 is 2

2. How to calculate the greatest common divisor of 752, 318, 200, 826?

We can find the highest common divisor of 752, 318, 200, 826 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 752, 318, 200, 826 i.e 2.

3. How can I use the GCD of 752, 318, 200, 826Calculator?

Out the numbers 752, 318, 200, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.