GCD of 942, 780, 440, 477 Calculator

Given Input numbers are 942, 780, 440, 477

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

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 942, 780, 440, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 780, 440, 477 is 1.

Therefore, GCD of numbers 942, 780, 440, 477 is 1

Given Input Data is 942, 780, 440, 477

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 477 is 3 x 3 x 53

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(942, 780) = 122460

GCD(942, 780) = ( 942 x 780 ) / 122460

GCD(942, 780) = 734760 / 122460

GCD(942, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 440

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

LCM(6, 440) = 1320

GCD(6, 440) = ( 6 x 440 ) / 1320

GCD(6, 440) = 2640 / 1320

GCD(6, 440) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 477

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

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

GCD(2, 477) = 954 / 954

GCD(2, 477) = 1

GCD of 942, 780, 440, 477 is 1

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1. What is the GCD of 942, 780, 440, 477?

GCD of 942, 780, 440, 477 is 1

2. Where do I get the detailed procedure to find GCD of 942, 780, 440, 477?

You can find a detailed procedure to find GCD of 942, 780, 440, 477 on our page.

3. How to find GCD of 942, 780, 440, 477 on a calculator?

You can find the GCD of 942, 780, 440, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.