GCD of 428, 693, 168, 101 Calculator

Given Input numbers are 428, 693, 168, 101

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 428, 693, 168, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 693, 168, 101 is 1.

Therefore, GCD of numbers 428, 693, 168, 101 is 1

Given Input Data is 428, 693, 168, 101

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 101 is 101

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(428, 693) = 296604

GCD(428, 693) = ( 428 x 693 ) / 296604

GCD(428, 693) = 296604 / 296604

GCD(428, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 428, 693, 168, 101 is 1

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1. What is the GCD of 428, 693, 168, 101?

GCD of 428, 693, 168, 101 is 1

2. Where do I get the detailed procedure to find GCD of 428, 693, 168, 101?

You can find a detailed procedure to find GCD of 428, 693, 168, 101 on our page.

3. How to find GCD of 428, 693, 168, 101 on a calculator?

You can find the GCD of 428, 693, 168, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.