GCD of 144, 730, 715, 528 Calculator

Given Input numbers are 144, 730, 715, 528

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (144, 730, 715, 528) = 1.

Given numbers are 144, 730, 715, 528

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 730 are 2 x 5 x 73

Prime factors of 715 are 5 x 11 x 13

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 730, 715, 528

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

Apply this formula for all numbers.

Step1:

LCM(144, 730) = 52560

GCD(144, 730) = ( 144 x 730 ) / 52560

= 144 / 730

= 144

Step2:

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

= 2 / 715

= 2

Step3:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

So, Greatest Common Divisor of 144, 730, 715, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 930, 553, 342
• GCD of 775, 103, 630, 912
• GCD of 391, 412, 883, 297
• GCD of 972, 342, 768, 690
• GCD of 507, 767, 750, 150

Given numbers are 144, 730, 715, 528
The greatest common divisor of numbers 144, 730, 715, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 730, 715, 528 is 1.

1. What is the GCD of 144, 730, 715, 528?

GCD of given numbers 144, 730, 715, 528 is 1

2. How to calculate the greatest common divisor of 144, 730, 715, 528?

We can find the highest common divisor of 144, 730, 715, 528 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, 730, 715, 528 i.e 1.

3. How can I use the GCD of 144, 730, 715, 528Calculator?

Out the numbers 144, 730, 715, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.