GCD of 945, 707, 10, 861 Calculator

Given Input numbers are 945, 707, 10, 861

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

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 945, 707, 10, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 707, 10, 861 is 1.

Therefore, GCD of numbers 945, 707, 10, 861 is 1

Given Input Data is 945, 707, 10, 861

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

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 10 is 2 x 5

Prime Factorization of 861 is 3 x 7 x 41

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(945, 707) = 95445

GCD(945, 707) = ( 945 x 707 ) / 95445

GCD(945, 707) = 668115 / 95445

GCD(945, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 10

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

LCM(7, 10) = 70

GCD(7, 10) = ( 7 x 10 ) / 70

GCD(7, 10) = 70 / 70

GCD(7, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 945, 707, 10, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 203, 29, 435
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• GCD of 149, 335, 24, 794

1. What is the GCD of 945, 707, 10, 861?

GCD of 945, 707, 10, 861 is 1

2. Where do I get the detailed procedure to find GCD of 945, 707, 10, 861?

You can find a detailed procedure to find GCD of 945, 707, 10, 861 on our page.

3. How to find GCD of 945, 707, 10, 861 on a calculator?

You can find the GCD of 945, 707, 10, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.