GCD of 977, 223, 954, 106 Calculator

Given Input numbers are 977, 223, 954, 106

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 977, 223, 954, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 223, 954, 106 is 1.

Therefore, GCD of numbers 977, 223, 954, 106 is 1

Given Input Data is 977, 223, 954, 106

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

Prime Factorization of 977 is 977

Prime Factorization of 223 is 223

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 106 is 2 x 53

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(977, 223) = 217871

GCD(977, 223) = ( 977 x 223 ) / 217871

GCD(977, 223) = 217871 / 217871

GCD(977, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 977, 223, 954, 106 is 1

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1. What is the GCD of 977, 223, 954, 106?

GCD of 977, 223, 954, 106 is 1

2. Where do I get the detailed procedure to find GCD of 977, 223, 954, 106?

You can find a detailed procedure to find GCD of 977, 223, 954, 106 on our page.

3. How to find GCD of 977, 223, 954, 106 on a calculator?

You can find the GCD of 977, 223, 954, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.