GCD of 776, 420, 90, 992 Calculator

Given Input numbers are 776, 420, 90, 992

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 776, 420, 90, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 420, 90, 992 is 2.

Therefore, GCD of numbers 776, 420, 90, 992 is 2

Given Input Data is 776, 420, 90, 992

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(776, 420) = 81480

GCD(776, 420) = ( 776 x 420 ) / 81480

GCD(776, 420) = 325920 / 81480

GCD(776, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 776, 420, 90, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 416, 63, 662
• GCD of 538, 823, 28, 520
• GCD of 454, 250, 23, 139
• GCD of 199, 187, 98, 156
• GCD of 672, 123, 82, 861

1. What is the GCD of 776, 420, 90, 992?

GCD of 776, 420, 90, 992 is 2

2. Where do I get the detailed procedure to find GCD of 776, 420, 90, 992?

You can find a detailed procedure to find GCD of 776, 420, 90, 992 on our page.

3. How to find GCD of 776, 420, 90, 992 on a calculator?

You can find the GCD of 776, 420, 90, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.