GCD of 858, 746, 99, 509 Calculator

Given Input numbers are 858, 746, 99, 509

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 858, 746, 99, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 746, 99, 509 is 1.

Therefore, GCD of numbers 858, 746, 99, 509 is 1

Given Input Data is 858, 746, 99, 509

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 746 is 2 x 373

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 509 is 509

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(858, 746) = 320034

GCD(858, 746) = ( 858 x 746 ) / 320034

GCD(858, 746) = 640068 / 320034

GCD(858, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 858, 746, 99, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 875, 30, 248
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• GCD of 475, 673, 59, 778
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• GCD of 657, 571, 68, 463

1. What is the GCD of 858, 746, 99, 509?

GCD of 858, 746, 99, 509 is 1

2. Where do I get the detailed procedure to find GCD of 858, 746, 99, 509?

You can find a detailed procedure to find GCD of 858, 746, 99, 509 on our page.

3. How to find GCD of 858, 746, 99, 509 on a calculator?

You can find the GCD of 858, 746, 99, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.