GCD of 734, 688, 564, 288 Calculator

Given Input numbers are 734, 688, 564, 288

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (734, 688, 564, 288) = 2.

Given numbers are 734, 688, 564, 288

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 734, 688, 564, 288 is 2.

Given numbers are 734, 688, 564, 288

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

Apply this formula for all numbers.

Step1:

LCM(734, 688) = 252496

GCD(734, 688) = ( 734 x 688 ) / 252496

= 734 / 688

= 734

Step2:

LCM(2, 564) = 564

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

= 2 / 564

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 734, 688, 564, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 745, 582, 787
• GCD of 831, 260, 826, 322
• GCD of 121, 692, 645, 587
• GCD of 219, 973, 869, 779
• GCD of 565, 269, 613, 706

Given numbers are 734, 688, 564, 288
The greatest common divisor of numbers 734, 688, 564, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 688, 564, 288 is 2.

1. What is the GCD of 734, 688, 564, 288?

GCD of given numbers 734, 688, 564, 288 is 2

2. How to calculate the greatest common divisor of 734, 688, 564, 288?

We can find the highest common divisor of 734, 688, 564, 288 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, 688, 564, 288 i.e 2.

3. How can I use the GCD of 734, 688, 564, 288Calculator?

Out the numbers 734, 688, 564, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.