GCD of 42, 548, 827, 701 Calculator

Given Input numbers are 42, 548, 827, 701

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

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 42, 548, 827, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 548, 827, 701 is 1.

Therefore, GCD of numbers 42, 548, 827, 701 is 1

Given Input Data is 42, 548, 827, 701

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 827 is 827

Prime Factorization of 701 is 701

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(42, 548) = 11508

GCD(42, 548) = ( 42 x 548 ) / 11508

GCD(42, 548) = 23016 / 11508

GCD(42, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 42, 548, 827, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 508, 507, 686
• GCD of 41, 258, 327, 689
• GCD of 43, 605, 252, 984
• GCD of 19, 424, 999, 517
• GCD of 83, 867, 558, 732

1. What is the GCD of 42, 548, 827, 701?

GCD of 42, 548, 827, 701 is 1

2. Where do I get the detailed procedure to find GCD of 42, 548, 827, 701?

You can find a detailed procedure to find GCD of 42, 548, 827, 701 on our page.

3. How to find GCD of 42, 548, 827, 701 on a calculator?

You can find the GCD of 42, 548, 827, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.