GCD of 35, 597, 271, 528 Calculator

Given Input numbers are 35, 597, 271, 528

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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

Greatest Common Divisior

We found the divisors of 35, 597, 271, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 597, 271, 528 is 1.

Therefore, GCD of numbers 35, 597, 271, 528 is 1

Given Input Data is 35, 597, 271, 528

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 597 is 3 x 199

Prime Factorization of 271 is 271

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

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(35, 597) = 20895

GCD(35, 597) = ( 35 x 597 ) / 20895

GCD(35, 597) = 20895 / 20895

GCD(35, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 35, 597, 271, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 895, 313, 779
• GCD of 33, 198, 778, 329
• GCD of 86, 462, 583, 372
• GCD of 55, 648, 278, 997
• GCD of 45, 469, 564, 334

1. What is the GCD of 35, 597, 271, 528?

GCD of 35, 597, 271, 528 is 1

2. Where do I get the detailed procedure to find GCD of 35, 597, 271, 528?

You can find a detailed procedure to find GCD of 35, 597, 271, 528 on our page.

3. How to find GCD of 35, 597, 271, 528 on a calculator?

You can find the GCD of 35, 597, 271, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.