GCD of 133, 880, 945, 101 Calculator

Given Input numbers are 133, 880, 945, 101

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 133, 880, 945, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 880, 945, 101 is 1.

Therefore, GCD of numbers 133, 880, 945, 101 is 1

Given Input Data is 133, 880, 945, 101

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 101 is 101

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(133, 880) = 117040

GCD(133, 880) = ( 133 x 880 ) / 117040

GCD(133, 880) = 117040 / 117040

GCD(133, 880) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 133, 880, 945, 101 is 1

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1. What is the GCD of 133, 880, 945, 101?

GCD of 133, 880, 945, 101 is 1

2. Where do I get the detailed procedure to find GCD of 133, 880, 945, 101?

You can find a detailed procedure to find GCD of 133, 880, 945, 101 on our page.

3. How to find GCD of 133, 880, 945, 101 on a calculator?

You can find the GCD of 133, 880, 945, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.