GCD of 642, 950, 357, 450 Calculator

Given Input numbers are 642, 950, 357, 450

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

Divisors of 642

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

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 642, 950, 357, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 950, 357, 450 is 1.

Therefore, GCD of numbers 642, 950, 357, 450 is 1

Given Input Data is 642, 950, 357, 450

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(642, 950) = 304950

GCD(642, 950) = ( 642 x 950 ) / 304950

GCD(642, 950) = 609900 / 304950

GCD(642, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 642, 950, 357, 450 is 1

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• GCD of 613, 435, 541, 851
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• GCD of 845, 583, 966, 420

1. What is the GCD of 642, 950, 357, 450?

GCD of 642, 950, 357, 450 is 1

2. Where do I get the detailed procedure to find GCD of 642, 950, 357, 450?

You can find a detailed procedure to find GCD of 642, 950, 357, 450 on our page.

3. How to find GCD of 642, 950, 357, 450 on a calculator?

You can find the GCD of 642, 950, 357, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.