GCD of 542, 196, 67, 529 Calculator

Given Input numbers are 542, 196, 67, 529

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 542, 196, 67, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 196, 67, 529 is 1.

Therefore, GCD of numbers 542, 196, 67, 529 is 1

Given Input Data is 542, 196, 67, 529

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 67 is 67

Prime Factorization of 529 is 23 x 23

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(542, 196) = 53116

GCD(542, 196) = ( 542 x 196 ) / 53116

GCD(542, 196) = 106232 / 53116

GCD(542, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 542, 196, 67, 529 is 1

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• GCD of 661, 195, 12, 914
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1. What is the GCD of 542, 196, 67, 529?

GCD of 542, 196, 67, 529 is 1

2. Where do I get the detailed procedure to find GCD of 542, 196, 67, 529?

You can find a detailed procedure to find GCD of 542, 196, 67, 529 on our page.

3. How to find GCD of 542, 196, 67, 529 on a calculator?

You can find the GCD of 542, 196, 67, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.