GCD of 784, 142, 56, 977 Calculator

Given Input numbers are 784, 142, 56, 977

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 784, 142, 56, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 142, 56, 977 is 1.

Therefore, GCD of numbers 784, 142, 56, 977 is 1

Given Input Data is 784, 142, 56, 977

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 142 is 2 x 71

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 977 is 977

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(784, 142) = 55664

GCD(784, 142) = ( 784 x 142 ) / 55664

GCD(784, 142) = 111328 / 55664

GCD(784, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

GCD of 784, 142, 56, 977 is 1

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• GCD of 886, 255, 99, 545
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1. What is the GCD of 784, 142, 56, 977?

GCD of 784, 142, 56, 977 is 1

2. Where do I get the detailed procedure to find GCD of 784, 142, 56, 977?

You can find a detailed procedure to find GCD of 784, 142, 56, 977 on our page.

3. How to find GCD of 784, 142, 56, 977 on a calculator?

You can find the GCD of 784, 142, 56, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.