GCD of 840, 516, 545, 379 Calculator

Given Input numbers are 840, 516, 545, 379

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 840, 516, 545, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 516, 545, 379 is 1.

Therefore, GCD of numbers 840, 516, 545, 379 is 1

Given Input Data is 840, 516, 545, 379

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 545 is 5 x 109

Prime Factorization of 379 is 379

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(840, 516) = 36120

GCD(840, 516) = ( 840 x 516 ) / 36120

GCD(840, 516) = 433440 / 36120

GCD(840, 516) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 545

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

LCM(12, 545) = 6540

GCD(12, 545) = ( 12 x 545 ) / 6540

GCD(12, 545) = 6540 / 6540

GCD(12, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 840, 516, 545, 379 is 1

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1. What is the GCD of 840, 516, 545, 379?

GCD of 840, 516, 545, 379 is 1

2. Where do I get the detailed procedure to find GCD of 840, 516, 545, 379?

You can find a detailed procedure to find GCD of 840, 516, 545, 379 on our page.

3. How to find GCD of 840, 516, 545, 379 on a calculator?

You can find the GCD of 840, 516, 545, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.