GCD of 949, 987, 423, 642 Calculator

Given Input numbers are 949, 987, 423, 642

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 949, 987, 423, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 987, 423, 642 is 1.

Therefore, GCD of numbers 949, 987, 423, 642 is 1

Given Input Data is 949, 987, 423, 642

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 642 is 2 x 3 x 107

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(949, 987) = 936663

GCD(949, 987) = ( 949 x 987 ) / 936663

GCD(949, 987) = 936663 / 936663

GCD(949, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 949, 987, 423, 642 is 1

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1. What is the GCD of 949, 987, 423, 642?

GCD of 949, 987, 423, 642 is 1

2. Where do I get the detailed procedure to find GCD of 949, 987, 423, 642?

You can find a detailed procedure to find GCD of 949, 987, 423, 642 on our page.

3. How to find GCD of 949, 987, 423, 642 on a calculator?

You can find the GCD of 949, 987, 423, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.