GCD of 924, 126, 728, 752 Calculator

Given Input numbers are 924, 126, 728, 752

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 752 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 126, 728, 752) = 2.

Given numbers are 924, 126, 728, 752

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 924, 126, 728, 752 is 2.

Given numbers are 924, 126, 728, 752

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

Apply this formula for all numbers.

Step1:

LCM(924, 126) = 2772

GCD(924, 126) = ( 924 x 126 ) / 2772

= 924 / 126

= 924

Step2:

LCM(42, 728) = 2184

GCD(42, 728) = ( 42 x 728 ) / 2184

= 42 / 728

= 42

Step3:

LCM(14, 752) = 5264

GCD(14, 752) = ( 14 x 752 ) / 5264

= 14 / 752

= 14

So, Greatest Common Divisor of 924, 126, 728, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 559, 282, 203
• GCD of 833, 239, 243, 372
• GCD of 743, 232, 280, 857
• GCD of 141, 572, 446, 410
• GCD of 937, 533, 234, 831

Given numbers are 924, 126, 728, 752
The greatest common divisor of numbers 924, 126, 728, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 126, 728, 752 is 2.

1. What is the GCD of 924, 126, 728, 752?

GCD of given numbers 924, 126, 728, 752 is 2

2. How to calculate the greatest common divisor of 924, 126, 728, 752?

We can find the highest common divisor of 924, 126, 728, 752 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 924, 126, 728, 752 i.e 2.

3. How can I use the GCD of 924, 126, 728, 752Calculator?

Out the numbers 924, 126, 728, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.