GCD of 560, 454, 680, 212 Calculator

Given Input numbers are 560, 454, 680, 212

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 560, 454, 680, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 454, 680, 212 is 2.

Therefore, GCD of numbers 560, 454, 680, 212 is 2

Given Input Data is 560, 454, 680, 212

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 454 is 2 x 227

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 212 is 2 x 2 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(560, 454) = 127120

GCD(560, 454) = ( 560 x 454 ) / 127120

GCD(560, 454) = 254240 / 127120

GCD(560, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 560, 454, 680, 212 is 2

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• GCD of 237, 372, 459, 761
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1. What is the GCD of 560, 454, 680, 212?

GCD of 560, 454, 680, 212 is 2

2. Where do I get the detailed procedure to find GCD of 560, 454, 680, 212?

You can find a detailed procedure to find GCD of 560, 454, 680, 212 on our page.

3. How to find GCD of 560, 454, 680, 212 on a calculator?

You can find the GCD of 560, 454, 680, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.