GCD of 154, 288, 438, 688 Calculator

Given Input numbers are 154, 288, 438, 688

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (154, 288, 438, 688) = 2.

Given numbers are 154, 288, 438, 688

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

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

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 154, 288, 438, 688 is 2.

Given numbers are 154, 288, 438, 688

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

Apply this formula for all numbers.

Step1:

LCM(154, 288) = 22176

GCD(154, 288) = ( 154 x 288 ) / 22176

= 154 / 288

= 154

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 154, 288, 438, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 460, 108, 643
• GCD of 607, 411, 252, 604
• GCD of 675, 676, 338, 712
• GCD of 607, 955, 249, 296
• GCD of 348, 879, 128, 157

Given numbers are 154, 288, 438, 688
The greatest common divisor of numbers 154, 288, 438, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 288, 438, 688 is 2.

1. What is the GCD of 154, 288, 438, 688?

GCD of given numbers 154, 288, 438, 688 is 2

2. How to calculate the greatest common divisor of 154, 288, 438, 688?

We can find the highest common divisor of 154, 288, 438, 688 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 154, 288, 438, 688 i.e 2.

3. How can I use the GCD of 154, 288, 438, 688Calculator?

Out the numbers 154, 288, 438, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.