GCD of 954, 945, 766, 309 Calculator

Given Input numbers are 954, 945, 766, 309

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

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 954, 945, 766, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 945, 766, 309 is 1.

Therefore, GCD of numbers 954, 945, 766, 309 is 1

Given Input Data is 954, 945, 766, 309

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

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 766 is 2 x 383

Prime Factorization of 309 is 3 x 103

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(954, 945) = 100170

GCD(954, 945) = ( 954 x 945 ) / 100170

GCD(954, 945) = 901530 / 100170

GCD(954, 945) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 766

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

LCM(9, 766) = 6894

GCD(9, 766) = ( 9 x 766 ) / 6894

GCD(9, 766) = 6894 / 6894

GCD(9, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 954, 945, 766, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 521, 878, 430
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• GCD of 896, 362, 747, 545
• GCD of 530, 972, 385, 947

1. What is the GCD of 954, 945, 766, 309?

GCD of 954, 945, 766, 309 is 1

2. Where do I get the detailed procedure to find GCD of 954, 945, 766, 309?

You can find a detailed procedure to find GCD of 954, 945, 766, 309 on our page.

3. How to find GCD of 954, 945, 766, 309 on a calculator?

You can find the GCD of 954, 945, 766, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.