GCD of 975, 858, 14, 420 Calculator

Given Input numbers are 975, 858, 14, 420

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 975, 858, 14, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 858, 14, 420 is 1.

Therefore, GCD of numbers 975, 858, 14, 420 is 1

Given Input Data is 975, 858, 14, 420

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(975, 858) = 21450

GCD(975, 858) = ( 975 x 858 ) / 21450

GCD(975, 858) = 836550 / 21450

GCD(975, 858) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 14

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

LCM(39, 14) = 546

GCD(39, 14) = ( 39 x 14 ) / 546

GCD(39, 14) = 546 / 546

GCD(39, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 975, 858, 14, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 449, 14, 826
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• GCD of 662, 655, 79, 635

1. What is the GCD of 975, 858, 14, 420?

GCD of 975, 858, 14, 420 is 1

2. Where do I get the detailed procedure to find GCD of 975, 858, 14, 420?

You can find a detailed procedure to find GCD of 975, 858, 14, 420 on our page.

3. How to find GCD of 975, 858, 14, 420 on a calculator?

You can find the GCD of 975, 858, 14, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.