GCD of 728, 945, 476, 524 Calculator

Given Input numbers are 728, 945, 476, 524

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (728, 945, 476, 524) = 1.

Given numbers are 728, 945, 476, 524

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 524 are 2 x 2 x 131

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

Given numbers are 728, 945, 476, 524

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

Apply this formula for all numbers.

Step1:

LCM(728, 945) = 98280

GCD(728, 945) = ( 728 x 945 ) / 98280

= 728 / 945

= 728

Step2:

LCM(7, 476) = 476

GCD(7, 476) = ( 7 x 476 ) / 476

= 7 / 476

= 7

Step3:

LCM(7, 524) = 3668

GCD(7, 524) = ( 7 x 524 ) / 3668

= 7 / 524

= 7

So, Greatest Common Divisor of 728, 945, 476, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 845, 677, 572
• GCD of 970, 571, 947, 876
• GCD of 541, 157, 168, 855
• GCD of 495, 311, 246, 182
• GCD of 161, 951, 826, 862

Given numbers are 728, 945, 476, 524
The greatest common divisor of numbers 728, 945, 476, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 945, 476, 524 is 1.

1. What is the GCD of 728, 945, 476, 524?

GCD of given numbers 728, 945, 476, 524 is 1

2. How to calculate the greatest common divisor of 728, 945, 476, 524?

We can find the highest common divisor of 728, 945, 476, 524 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 728, 945, 476, 524 i.e 1.

3. How can I use the GCD of 728, 945, 476, 524Calculator?

Out the numbers 728, 945, 476, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.