GCD of 144, 880, 694, 318 Calculator

Given Input numbers are 144, 880, 694, 318

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

GCD of numbers is the greatest common divisor

So, the GCD (144, 880, 694, 318) = 2.

Given numbers are 144, 880, 694, 318

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 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 694 are 2 x 347

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 144, 880, 694, 318 is 2.

Given numbers are 144, 880, 694, 318

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

Apply this formula for all numbers.

Step1:

LCM(144, 880) = 7920

GCD(144, 880) = ( 144 x 880 ) / 7920

= 144 / 880

= 144

Step2:

LCM(16, 694) = 5552

GCD(16, 694) = ( 16 x 694 ) / 5552

= 16 / 694

= 16

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 144, 880, 694, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 998, 907, 732
• GCD of 414, 161, 225, 937
• GCD of 867, 478, 218, 182
• GCD of 695, 845, 782, 190
• GCD of 268, 117, 841, 691

Given numbers are 144, 880, 694, 318
The greatest common divisor of numbers 144, 880, 694, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 880, 694, 318 is 2.

1. What is the GCD of 144, 880, 694, 318?

GCD of given numbers 144, 880, 694, 318 is 2

2. How to calculate the greatest common divisor of 144, 880, 694, 318?

We can find the highest common divisor of 144, 880, 694, 318 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, 880, 694, 318 i.e 2.

3. How can I use the GCD of 144, 880, 694, 318Calculator?

Out the numbers 144, 880, 694, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.