GCD of 528, 577, 87, 782 Calculator

Given Input numbers are 528, 577, 87, 782

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 528, 577, 87, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 577, 87, 782 is 1.

Therefore, GCD of numbers 528, 577, 87, 782 is 1

Given Input Data is 528, 577, 87, 782

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 577 is 577

Prime Factorization of 87 is 3 x 29

Prime Factorization of 782 is 2 x 17 x 23

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, 577) = 304656

GCD(528, 577) = ( 528 x 577 ) / 304656

GCD(528, 577) = 304656 / 304656

GCD(528, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 528, 577, 87, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 377, 90, 563
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• GCD of 770, 517, 44, 416
• GCD of 171, 786, 81, 461
• GCD of 401, 327, 99, 476

1. What is the GCD of 528, 577, 87, 782?

GCD of 528, 577, 87, 782 is 1

2. Where do I get the detailed procedure to find GCD of 528, 577, 87, 782?

You can find a detailed procedure to find GCD of 528, 577, 87, 782 on our page.

3. How to find GCD of 528, 577, 87, 782 on a calculator?

You can find the GCD of 528, 577, 87, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.