GCD of 465, 898, 709, 668 Calculator

Given Input numbers are 465, 898, 709, 668

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 465, 898, 709, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 898, 709, 668 is 1.

Therefore, GCD of numbers 465, 898, 709, 668 is 1

Given Input Data is 465, 898, 709, 668

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 898 is 2 x 449

Prime Factorization of 709 is 709

Prime Factorization of 668 is 2 x 2 x 167

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(465, 898) = 417570

GCD(465, 898) = ( 465 x 898 ) / 417570

GCD(465, 898) = 417570 / 417570

GCD(465, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 465, 898, 709, 668 is 1

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1. What is the GCD of 465, 898, 709, 668?

GCD of 465, 898, 709, 668 is 1

2. Where do I get the detailed procedure to find GCD of 465, 898, 709, 668?

You can find a detailed procedure to find GCD of 465, 898, 709, 668 on our page.

3. How to find GCD of 465, 898, 709, 668 on a calculator?

You can find the GCD of 465, 898, 709, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.