GCD of 946, 776, 89, 355 Calculator

Given Input numbers are 946, 776, 89, 355

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 946, 776, 89, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 776, 89, 355 is 1.

Therefore, GCD of numbers 946, 776, 89, 355 is 1

Given Input Data is 946, 776, 89, 355

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

Prime Factorization of 946 is 2 x 11 x 43

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

Prime Factorization of 89 is 89

Prime Factorization of 355 is 5 x 71

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(946, 776) = 367048

GCD(946, 776) = ( 946 x 776 ) / 367048

GCD(946, 776) = 734096 / 367048

GCD(946, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 946, 776, 89, 355 is 1

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• GCD of 275, 509, 21, 223
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1. What is the GCD of 946, 776, 89, 355?

GCD of 946, 776, 89, 355 is 1

2. Where do I get the detailed procedure to find GCD of 946, 776, 89, 355?

You can find a detailed procedure to find GCD of 946, 776, 89, 355 on our page.

3. How to find GCD of 946, 776, 89, 355 on a calculator?

You can find the GCD of 946, 776, 89, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.