GCD of 776, 776, 224, 420 Calculator

Given Input numbers are 776, 776, 224, 420

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 776

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

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

Greatest Common Divisior

We found the divisors of 776, 776, 224, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 776, 224, 420 is 4.

Therefore, GCD of numbers 776, 776, 224, 420 is 4

Given Input Data is 776, 776, 224, 420

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 776 is 2 x 2 x 2 x 97

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 776) = 776

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

GCD(776, 776) = 602176 / 776

GCD(776, 776) = 776

Step2:

Here we consider the GCD from the above i.e. 776 as first number and the next as 224

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

LCM(776, 224) = 21728

GCD(776, 224) = ( 776 x 224 ) / 21728

GCD(776, 224) = 173824 / 21728

GCD(776, 224) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 420

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

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

GCD(8, 420) = 3360 / 840

GCD(8, 420) = 4

GCD of 776, 776, 224, 420 is 4

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1. What is the GCD of 776, 776, 224, 420?

GCD of 776, 776, 224, 420 is 4

2. Where do I get the detailed procedure to find GCD of 776, 776, 224, 420?

You can find a detailed procedure to find GCD of 776, 776, 224, 420 on our page.

3. How to find GCD of 776, 776, 224, 420 on a calculator?

You can find the GCD of 776, 776, 224, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.