GCD of 776, 487, 564, 374 Calculator

Given Input numbers are 776, 487, 564, 374

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 776, 487, 564, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 487, 564, 374 is 1.

Therefore, GCD of numbers 776, 487, 564, 374 is 1

Given Input Data is 776, 487, 564, 374

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 487 is 487

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 374 is 2 x 11 x 17

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(776, 487) = 377912

GCD(776, 487) = ( 776 x 487 ) / 377912

GCD(776, 487) = 377912 / 377912

GCD(776, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 776, 487, 564, 374 is 1

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1. What is the GCD of 776, 487, 564, 374?

GCD of 776, 487, 564, 374 is 1

2. Where do I get the detailed procedure to find GCD of 776, 487, 564, 374?

You can find a detailed procedure to find GCD of 776, 487, 564, 374 on our page.

3. How to find GCD of 776, 487, 564, 374 on a calculator?

You can find the GCD of 776, 487, 564, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.