GCD of 752, 608, 306, 224 Calculator

Given Input numbers are 752, 608, 306, 224

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (752, 608, 306, 224) = 2.

Given numbers are 752, 608, 306, 224

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 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 752, 608, 306, 224 is 2.

Given numbers are 752, 608, 306, 224

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

Apply this formula for all numbers.

Step1:

LCM(752, 608) = 28576

GCD(752, 608) = ( 752 x 608 ) / 28576

= 752 / 608

= 752

Step2:

LCM(16, 306) = 2448

GCD(16, 306) = ( 16 x 306 ) / 2448

= 16 / 306

= 16

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 752, 608, 306, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 521, 829, 989
• GCD of 803, 956, 532, 299
• GCD of 550, 731, 393, 245
• GCD of 182, 828, 622, 288
• GCD of 787, 809, 417, 129

Given numbers are 752, 608, 306, 224
The greatest common divisor of numbers 752, 608, 306, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 608, 306, 224 is 2.

1. What is the GCD of 752, 608, 306, 224?

GCD of given numbers 752, 608, 306, 224 is 2

2. How to calculate the greatest common divisor of 752, 608, 306, 224?

We can find the highest common divisor of 752, 608, 306, 224 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, 608, 306, 224 i.e 2.

3. How can I use the GCD of 752, 608, 306, 224Calculator?

Out the numbers 752, 608, 306, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.