GCD of 525, 109, 14, 672 Calculator

Given Input numbers are 525, 109, 14, 672

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 14

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

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 525, 109, 14, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 109, 14, 672 is 1.

Therefore, GCD of numbers 525, 109, 14, 672 is 1

Given Input Data is 525, 109, 14, 672

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 109 is 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(525, 109) = 57225

GCD(525, 109) = ( 525 x 109 ) / 57225

GCD(525, 109) = 57225 / 57225

GCD(525, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 525, 109, 14, 672 is 1

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1. What is the GCD of 525, 109, 14, 672?

GCD of 525, 109, 14, 672 is 1

2. Where do I get the detailed procedure to find GCD of 525, 109, 14, 672?

You can find a detailed procedure to find GCD of 525, 109, 14, 672 on our page.

3. How to find GCD of 525, 109, 14, 672 on a calculator?

You can find the GCD of 525, 109, 14, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.