GCD of 124, 402, 42, 692 Calculator

Given Input numbers are 124, 402, 42, 692

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 124, 402, 42, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 402, 42, 692 is 2.

Therefore, GCD of numbers 124, 402, 42, 692 is 2

Given Input Data is 124, 402, 42, 692

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(124, 402) = 24924

GCD(124, 402) = ( 124 x 402 ) / 24924

GCD(124, 402) = 49848 / 24924

GCD(124, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 124, 402, 42, 692 is 2

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1. What is the GCD of 124, 402, 42, 692?

GCD of 124, 402, 42, 692 is 2

2. Where do I get the detailed procedure to find GCD of 124, 402, 42, 692?

You can find a detailed procedure to find GCD of 124, 402, 42, 692 on our page.

3. How to find GCD of 124, 402, 42, 692 on a calculator?

You can find the GCD of 124, 402, 42, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.