GCD of 690, 765, 541, 516 Calculator

Given Input numbers are 690, 765, 541, 516

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

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

Greatest Common Divisior

We found the divisors of 690, 765, 541, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 765, 541, 516 is 1.

Therefore, GCD of numbers 690, 765, 541, 516 is 1

Given Input Data is 690, 765, 541, 516

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 541 is 541

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

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(690, 765) = 35190

GCD(690, 765) = ( 690 x 765 ) / 35190

GCD(690, 765) = 527850 / 35190

GCD(690, 765) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 541

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

LCM(15, 541) = 8115

GCD(15, 541) = ( 15 x 541 ) / 8115

GCD(15, 541) = 8115 / 8115

GCD(15, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 690, 765, 541, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 261, 551, 818
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• GCD of 220, 399, 735, 745
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• GCD of 425, 554, 812, 687

1. What is the GCD of 690, 765, 541, 516?

GCD of 690, 765, 541, 516 is 1

2. Where do I get the detailed procedure to find GCD of 690, 765, 541, 516?

You can find a detailed procedure to find GCD of 690, 765, 541, 516 on our page.

3. How to find GCD of 690, 765, 541, 516 on a calculator?

You can find the GCD of 690, 765, 541, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.