GCD of 231, 126, 704, 942 Calculator

Given Input numbers are 231, 126, 704, 942

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 231, 126, 704, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 126, 704, 942 is 1.

Therefore, GCD of numbers 231, 126, 704, 942 is 1

Given Input Data is 231, 126, 704, 942

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 942 is 2 x 3 x 157

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(231, 126) = 1386

GCD(231, 126) = ( 231 x 126 ) / 1386

GCD(231, 126) = 29106 / 1386

GCD(231, 126) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 704

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

LCM(21, 704) = 14784

GCD(21, 704) = ( 21 x 704 ) / 14784

GCD(21, 704) = 14784 / 14784

GCD(21, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 231, 126, 704, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 594, 571, 429
• GCD of 717, 414, 712, 615
• GCD of 995, 766, 835, 217
• GCD of 611, 163, 961, 739
• GCD of 875, 753, 841, 892

1. What is the GCD of 231, 126, 704, 942?

GCD of 231, 126, 704, 942 is 1

2. Where do I get the detailed procedure to find GCD of 231, 126, 704, 942?

You can find a detailed procedure to find GCD of 231, 126, 704, 942 on our page.

3. How to find GCD of 231, 126, 704, 942 on a calculator?

You can find the GCD of 231, 126, 704, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.