GCD of 123, 787, 848, 920 Calculator

Given Input numbers are 123, 787, 848, 920

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 123, 787, 848, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 787, 848, 920 is 1.

Therefore, GCD of numbers 123, 787, 848, 920 is 1

Given Input Data is 123, 787, 848, 920

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 787 is 787

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(123, 787) = 96801

GCD(123, 787) = ( 123 x 787 ) / 96801

GCD(123, 787) = 96801 / 96801

GCD(123, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 123, 787, 848, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 458, 562, 985
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• GCD of 120, 658, 909, 801
• GCD of 891, 957, 483, 121
• GCD of 269, 274, 400, 635

1. What is the GCD of 123, 787, 848, 920?

GCD of 123, 787, 848, 920 is 1

2. Where do I get the detailed procedure to find GCD of 123, 787, 848, 920?

You can find a detailed procedure to find GCD of 123, 787, 848, 920 on our page.

3. How to find GCD of 123, 787, 848, 920 on a calculator?

You can find the GCD of 123, 787, 848, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.