GCD of 144, 292, 468, 688 Calculator

Given Input numbers are 144, 292, 468, 688

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 (144, 292, 468, 688) = 4.

Given numbers are 144, 292, 468, 688

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 292 are 2 x 2 x 73

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 2²

Therefore, GCD of 144, 292, 468, 688 is 4.

Given numbers are 144, 292, 468, 688

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

Apply this formula for all numbers.

Step1:

LCM(144, 292) = 10512

GCD(144, 292) = ( 144 x 292 ) / 10512

= 144 / 292

= 144

Step2:

LCM(4, 468) = 468

GCD(4, 468) = ( 4 x 468 ) / 468

= 4 / 468

= 4

Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

So, Greatest Common Divisor of 144, 292, 468, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 350, 994, 667
• GCD of 730, 106, 420, 683
• GCD of 273, 874, 792, 181
• GCD of 600, 318, 518, 864
• GCD of 634, 501, 852, 293

Given numbers are 144, 292, 468, 688
The greatest common divisor of numbers 144, 292, 468, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 292, 468, 688 is 4.

1. What is the GCD of 144, 292, 468, 688?

GCD of given numbers 144, 292, 468, 688 is 4

2. How to calculate the greatest common divisor of 144, 292, 468, 688?

We can find the highest common divisor of 144, 292, 468, 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 144, 292, 468, 688 i.e 4.

3. How can I use the GCD of 144, 292, 468, 688Calculator?

Out the numbers 144, 292, 468, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.