GCD of 35, 852, 114, 577 Calculator

Given Input numbers are 35, 852, 114, 577

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 577

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

1, 577

Greatest Common Divisior

We found the divisors of 35, 852, 114, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 852, 114, 577 is 1.

Therefore, GCD of numbers 35, 852, 114, 577 is 1

Given Input Data is 35, 852, 114, 577

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 577 is 577

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, 852) = 29820

GCD(35, 852) = ( 35 x 852 ) / 29820

GCD(35, 852) = 29820 / 29820

GCD(35, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 35, 852, 114, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 289, 889, 162
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• GCD of 60, 243, 194, 599
• GCD of 64, 434, 718, 177
• GCD of 69, 900, 850, 627

1. What is the GCD of 35, 852, 114, 577?

GCD of 35, 852, 114, 577 is 1

2. Where do I get the detailed procedure to find GCD of 35, 852, 114, 577?

You can find a detailed procedure to find GCD of 35, 852, 114, 577 on our page.

3. How to find GCD of 35, 852, 114, 577 on a calculator?

You can find the GCD of 35, 852, 114, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.