GCD of 852, 461, 737, 542 Calculator

Given Input numbers are 852, 461, 737, 542

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

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 852, 461, 737, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 461, 737, 542 is 1.

Therefore, GCD of numbers 852, 461, 737, 542 is 1

Given Input Data is 852, 461, 737, 542

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

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

Prime Factorization of 461 is 461

Prime Factorization of 737 is 11 x 67

Prime Factorization of 542 is 2 x 271

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(852, 461) = 392772

GCD(852, 461) = ( 852 x 461 ) / 392772

GCD(852, 461) = 392772 / 392772

GCD(852, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 852, 461, 737, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 431, 519, 125
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• GCD of 369, 328, 230, 983
• GCD of 479, 649, 788, 319

1. What is the GCD of 852, 461, 737, 542?

GCD of 852, 461, 737, 542 is 1

2. Where do I get the detailed procedure to find GCD of 852, 461, 737, 542?

You can find a detailed procedure to find GCD of 852, 461, 737, 542 on our page.

3. How to find GCD of 852, 461, 737, 542 on a calculator?

You can find the GCD of 852, 461, 737, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.