GCD of 776, 554, 59, 947 Calculator

Given Input numbers are 776, 554, 59, 947

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 776, 554, 59, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 554, 59, 947 is 1.

Therefore, GCD of numbers 776, 554, 59, 947 is 1

Given Input Data is 776, 554, 59, 947

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 554 is 2 x 277

Prime Factorization of 59 is 59

Prime Factorization of 947 is 947

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, 554) = 214952

GCD(776, 554) = ( 776 x 554 ) / 214952

GCD(776, 554) = 429904 / 214952

GCD(776, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 776, 554, 59, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 712, 58, 318
• GCD of 451, 716, 30, 624
• GCD of 547, 392, 21, 256
• GCD of 967, 816, 79, 385
• GCD of 725, 110, 52, 527

1. What is the GCD of 776, 554, 59, 947?

GCD of 776, 554, 59, 947 is 1

2. Where do I get the detailed procedure to find GCD of 776, 554, 59, 947?

You can find a detailed procedure to find GCD of 776, 554, 59, 947 on our page.

3. How to find GCD of 776, 554, 59, 947 on a calculator?

You can find the GCD of 776, 554, 59, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.