GCD of 528, 145, 914, 756 Calculator

Given Input numbers are 528, 145, 914, 756

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 528, 145, 914, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 145, 914, 756 is 1.

Therefore, GCD of numbers 528, 145, 914, 756 is 1

Given Input Data is 528, 145, 914, 756

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 145 is 5 x 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 145) = 76560

GCD(528, 145) = ( 528 x 145 ) / 76560

GCD(528, 145) = 76560 / 76560

GCD(528, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 528, 145, 914, 756 is 1

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1. What is the GCD of 528, 145, 914, 756?

GCD of 528, 145, 914, 756 is 1

2. Where do I get the detailed procedure to find GCD of 528, 145, 914, 756?

You can find a detailed procedure to find GCD of 528, 145, 914, 756 on our page.

3. How to find GCD of 528, 145, 914, 756 on a calculator?

You can find the GCD of 528, 145, 914, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.