GCD of 102, 945, 37, 848 Calculator

Given Input numbers are 102, 945, 37, 848

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 102, 945, 37, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 945, 37, 848 is 1.

Therefore, GCD of numbers 102, 945, 37, 848 is 1

Given Input Data is 102, 945, 37, 848

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

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 37 is 37

Prime Factorization of 848 is 2 x 2 x 2 x 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(102, 945) = 32130

GCD(102, 945) = ( 102 x 945 ) / 32130

GCD(102, 945) = 96390 / 32130

GCD(102, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 102, 945, 37, 848 is 1

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• GCD of 924, 643, 16, 540
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1. What is the GCD of 102, 945, 37, 848?

GCD of 102, 945, 37, 848 is 1

2. Where do I get the detailed procedure to find GCD of 102, 945, 37, 848?

You can find a detailed procedure to find GCD of 102, 945, 37, 848 on our page.

3. How to find GCD of 102, 945, 37, 848 on a calculator?

You can find the GCD of 102, 945, 37, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.