GCD of 528, 992, 875, 545 Calculator

Given Input numbers are 528, 992, 875, 545

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 528, 992, 875, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 992, 875, 545 is 1.

Therefore, GCD of numbers 528, 992, 875, 545 is 1

Given Input Data is 528, 992, 875, 545

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 545 is 5 x 109

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(528, 992) = 32736

GCD(528, 992) = ( 528 x 992 ) / 32736

GCD(528, 992) = 523776 / 32736

GCD(528, 992) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 875

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

LCM(16, 875) = 14000

GCD(16, 875) = ( 16 x 875 ) / 14000

GCD(16, 875) = 14000 / 14000

GCD(16, 875) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 528, 992, 875, 545 is 1

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1. What is the GCD of 528, 992, 875, 545?

GCD of 528, 992, 875, 545 is 1

2. Where do I get the detailed procedure to find GCD of 528, 992, 875, 545?

You can find a detailed procedure to find GCD of 528, 992, 875, 545 on our page.

3. How to find GCD of 528, 992, 875, 545 on a calculator?

You can find the GCD of 528, 992, 875, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.