GCD of 782, 942, 77, 923 Calculator

Given Input numbers are 782, 942, 77, 923

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 942

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

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 782, 942, 77, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 942, 77, 923 is 1.

Therefore, GCD of numbers 782, 942, 77, 923 is 1

Given Input Data is 782, 942, 77, 923

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 77 is 7 x 11

Prime Factorization of 923 is 13 x 71

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(782, 942) = 368322

GCD(782, 942) = ( 782 x 942 ) / 368322

GCD(782, 942) = 736644 / 368322

GCD(782, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 782, 942, 77, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 657, 35, 212
• GCD of 463, 254, 21, 219
• GCD of 132, 878, 95, 547
• GCD of 436, 840, 18, 665
• GCD of 346, 492, 64, 613

1. What is the GCD of 782, 942, 77, 923?

GCD of 782, 942, 77, 923 is 1

2. Where do I get the detailed procedure to find GCD of 782, 942, 77, 923?

You can find a detailed procedure to find GCD of 782, 942, 77, 923 on our page.

3. How to find GCD of 782, 942, 77, 923 on a calculator?

You can find the GCD of 782, 942, 77, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.