GCD of 734, 732, 564, 470 Calculator

Given Input numbers are 734, 732, 564, 470

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (734, 732, 564, 470) = 2.

Given numbers are 734, 732, 564, 470

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 734, 732, 564, 470 is 2.

Given numbers are 734, 732, 564, 470

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

Apply this formula for all numbers.

Step1:

LCM(734, 732) = 268644

GCD(734, 732) = ( 734 x 732 ) / 268644

= 734 / 732

= 734

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

So, Greatest Common Divisor of 734, 732, 564, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 116, 339, 445
• GCD of 881, 527, 589, 172
• GCD of 951, 319, 391, 320
• GCD of 911, 715, 673, 774
• GCD of 714, 999, 789, 789

Given numbers are 734, 732, 564, 470
The greatest common divisor of numbers 734, 732, 564, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 732, 564, 470 is 2.

1. What is the GCD of 734, 732, 564, 470?

GCD of given numbers 734, 732, 564, 470 is 2

2. How to calculate the greatest common divisor of 734, 732, 564, 470?

We can find the highest common divisor of 734, 732, 564, 470 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 734, 732, 564, 470 i.e 2.

3. How can I use the GCD of 734, 732, 564, 470Calculator?

Out the numbers 734, 732, 564, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.