GCD of 694, 318, 296, 144 Calculator

Given Input numbers are 694, 318, 296, 144

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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

GCD of numbers is the greatest common divisor

So, the GCD (694, 318, 296, 144) = 2.

Given numbers are 694, 318, 296, 144

The list of prime factors of all numbers are

Prime factors of 694 are 2 x 347

Prime factors of 318 are 2 x 3 x 53

Prime factors of 296 are 2 x 2 x 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 694, 318, 296, 144 is 2.

Given numbers are 694, 318, 296, 144

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

Apply this formula for all numbers.

Step1:

LCM(694, 318) = 110346

GCD(694, 318) = ( 694 x 318 ) / 110346

= 694 / 318

= 694

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 694, 318, 296, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 469, 560, 945
• GCD of 745, 273, 456, 236
• GCD of 607, 328, 722, 740
• GCD of 553, 335, 789, 474
• GCD of 973, 773, 170, 122

Given numbers are 694, 318, 296, 144
The greatest common divisor of numbers 694, 318, 296, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 318, 296, 144 is 2.

1. What is the GCD of 694, 318, 296, 144?

GCD of given numbers 694, 318, 296, 144 is 2

2. How to calculate the greatest common divisor of 694, 318, 296, 144?

We can find the highest common divisor of 694, 318, 296, 144 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 694, 318, 296, 144 i.e 2.

3. How can I use the GCD of 694, 318, 296, 144Calculator?

Out the numbers 694, 318, 296, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.