GCD of 144, 724, 824, 260 Calculator

Given Input numbers are 144, 724, 824, 260

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD of numbers is the greatest common divisor

So, the GCD (144, 724, 824, 260) = 4.

Given numbers are 144, 724, 824, 260

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 724 are 2 x 2 x 181

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 2²

Therefore, GCD of 144, 724, 824, 260 is 4.

Given numbers are 144, 724, 824, 260

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

Apply this formula for all numbers.

Step1:

LCM(144, 724) = 26064

GCD(144, 724) = ( 144 x 724 ) / 26064

= 144 / 724

= 144

Step2:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

Step3:

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

= 4 / 260

= 4

So, Greatest Common Divisor of 144, 724, 824, 260 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 981, 214, 202
• GCD of 736, 620, 517, 318
• GCD of 406, 566, 248, 701
• GCD of 906, 848, 185, 615
• GCD of 907, 143, 468, 512

Given numbers are 144, 724, 824, 260
The greatest common divisor of numbers 144, 724, 824, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 724, 824, 260 is 4.

1. What is the GCD of 144, 724, 824, 260?

GCD of given numbers 144, 724, 824, 260 is 4

2. How to calculate the greatest common divisor of 144, 724, 824, 260?

We can find the highest common divisor of 144, 724, 824, 260 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, 724, 824, 260 i.e 4.

3. How can I use the GCD of 144, 724, 824, 260Calculator?

Out the numbers 144, 724, 824, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.