GCD of 100, 610, 89, 941 Calculator

Given Input numbers are 100, 610, 89, 941

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 100, 610, 89, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 610, 89, 941 is 1.

Therefore, GCD of numbers 100, 610, 89, 941 is 1

Given Input Data is 100, 610, 89, 941

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 89 is 89

Prime Factorization of 941 is 941

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(100, 610) = 6100

GCD(100, 610) = ( 100 x 610 ) / 6100

GCD(100, 610) = 61000 / 6100

GCD(100, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 89

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

LCM(10, 89) = 890

GCD(10, 89) = ( 10 x 89 ) / 890

GCD(10, 89) = 890 / 890

GCD(10, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

GCD of 100, 610, 89, 941 is 1

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• GCD of 852, 659, 79, 470
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1. What is the GCD of 100, 610, 89, 941?

GCD of 100, 610, 89, 941 is 1

2. Where do I get the detailed procedure to find GCD of 100, 610, 89, 941?

You can find a detailed procedure to find GCD of 100, 610, 89, 941 on our page.

3. How to find GCD of 100, 610, 89, 941 on a calculator?

You can find the GCD of 100, 610, 89, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.