GCD of 672, 989, 160, 519 Calculator

Given Input numbers are 672, 989, 160, 519

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 672, 989, 160, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 989, 160, 519 is 1.

Therefore, GCD of numbers 672, 989, 160, 519 is 1

Given Input Data is 672, 989, 160, 519

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 989 is 23 x 43

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

Prime Factorization of 519 is 3 x 173

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(672, 989) = 664608

GCD(672, 989) = ( 672 x 989 ) / 664608

GCD(672, 989) = 664608 / 664608

GCD(672, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 672, 989, 160, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 441, 373, 772
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• GCD of 581, 615, 703, 528

1. What is the GCD of 672, 989, 160, 519?

GCD of 672, 989, 160, 519 is 1

2. Where do I get the detailed procedure to find GCD of 672, 989, 160, 519?

You can find a detailed procedure to find GCD of 672, 989, 160, 519 on our page.

3. How to find GCD of 672, 989, 160, 519 on a calculator?

You can find the GCD of 672, 989, 160, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.