GCD of 420, 160, 846, 553 Calculator

Given Input numbers are 420, 160, 846, 553

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

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 420, 160, 846, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 160, 846, 553 is 1.

Therefore, GCD of numbers 420, 160, 846, 553 is 1

Given Input Data is 420, 160, 846, 553

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

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 553 is 7 x 79

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(420, 160) = 3360

GCD(420, 160) = ( 420 x 160 ) / 3360

GCD(420, 160) = 67200 / 3360

GCD(420, 160) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 846

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

LCM(20, 846) = 8460

GCD(20, 846) = ( 20 x 846 ) / 8460

GCD(20, 846) = 16920 / 8460

GCD(20, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 420, 160, 846, 553 is 1

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• GCD of 183, 348, 831, 362
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1. What is the GCD of 420, 160, 846, 553?

GCD of 420, 160, 846, 553 is 1

2. Where do I get the detailed procedure to find GCD of 420, 160, 846, 553?

You can find a detailed procedure to find GCD of 420, 160, 846, 553 on our page.

3. How to find GCD of 420, 160, 846, 553 on a calculator?

You can find the GCD of 420, 160, 846, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.