GCD of 728, 642, 471, 560 Calculator

Given Input numbers are 728, 642, 471, 560

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (728, 642, 471, 560) = 1.

Given numbers are 728, 642, 471, 560

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 642 are 2 x 3 x 107

Prime factors of 471 are 3 x 157

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 728, 642, 471, 560

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

Apply this formula for all numbers.

Step1:

LCM(728, 642) = 233688

GCD(728, 642) = ( 728 x 642 ) / 233688

= 728 / 642

= 728

Step2:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 728, 642, 471, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 350, 105, 679
• GCD of 125, 210, 458, 597
• GCD of 667, 889, 814, 401
• GCD of 922, 142, 542, 919
• GCD of 601, 690, 188, 201

Given numbers are 728, 642, 471, 560
The greatest common divisor of numbers 728, 642, 471, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 642, 471, 560 is 1.

1. What is the GCD of 728, 642, 471, 560?

GCD of given numbers 728, 642, 471, 560 is 1

2. How to calculate the greatest common divisor of 728, 642, 471, 560?

We can find the highest common divisor of 728, 642, 471, 560 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, 642, 471, 560 i.e 1.

3. How can I use the GCD of 728, 642, 471, 560Calculator?

Out the numbers 728, 642, 471, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.