GCD of 42, 107, 661, 938 Calculator

Given Input numbers are 42, 107, 661, 938

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 42, 107, 661, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 107, 661, 938 is 1.

Therefore, GCD of numbers 42, 107, 661, 938 is 1

Given Input Data is 42, 107, 661, 938

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 107 is 107

Prime Factorization of 661 is 661

Prime Factorization of 938 is 2 x 7 x 67

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, 107) = 4494

GCD(42, 107) = ( 42 x 107 ) / 4494

GCD(42, 107) = 4494 / 4494

GCD(42, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 42, 107, 661, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 938, 176, 773
• GCD of 25, 826, 993, 158
• GCD of 43, 690, 655, 275
• GCD of 95, 929, 593, 238
• GCD of 62, 363, 267, 484

1. What is the GCD of 42, 107, 661, 938?

GCD of 42, 107, 661, 938 is 1

2. Where do I get the detailed procedure to find GCD of 42, 107, 661, 938?

You can find a detailed procedure to find GCD of 42, 107, 661, 938 on our page.

3. How to find GCD of 42, 107, 661, 938 on a calculator?

You can find the GCD of 42, 107, 661, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.