GCD of 643, 109, 945, 620 Calculator

Given Input numbers are 643, 109, 945, 620

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 643, 109, 945, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 109, 945, 620 is 1.

Therefore, GCD of numbers 643, 109, 945, 620 is 1

Given Input Data is 643, 109, 945, 620

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

Prime Factorization of 643 is 643

Prime Factorization of 109 is 109

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(643, 109) = 70087

GCD(643, 109) = ( 643 x 109 ) / 70087

GCD(643, 109) = 70087 / 70087

GCD(643, 109) = 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 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 643, 109, 945, 620 is 1

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1. What is the GCD of 643, 109, 945, 620?

GCD of 643, 109, 945, 620 is 1

2. Where do I get the detailed procedure to find GCD of 643, 109, 945, 620?

You can find a detailed procedure to find GCD of 643, 109, 945, 620 on our page.

3. How to find GCD of 643, 109, 945, 620 on a calculator?

You can find the GCD of 643, 109, 945, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.