GCD of 945, 540, 565, 676 Calculator

Given Input numbers are 945, 540, 565, 676

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 945, 540, 565, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 540, 565, 676 is 1.

Therefore, GCD of numbers 945, 540, 565, 676 is 1

Given Input Data is 945, 540, 565, 676

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 565 is 5 x 113

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(945, 540) = 3780

GCD(945, 540) = ( 945 x 540 ) / 3780

GCD(945, 540) = 510300 / 3780

GCD(945, 540) = 135

Step2:

Here we consider the GCD from the above i.e. 135 as first number and the next as 565

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

LCM(135, 565) = 15255

GCD(135, 565) = ( 135 x 565 ) / 15255

GCD(135, 565) = 76275 / 15255

GCD(135, 565) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 676

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

LCM(5, 676) = 3380

GCD(5, 676) = ( 5 x 676 ) / 3380

GCD(5, 676) = 3380 / 3380

GCD(5, 676) = 1

GCD of 945, 540, 565, 676 is 1

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1. What is the GCD of 945, 540, 565, 676?

GCD of 945, 540, 565, 676 is 1

2. Where do I get the detailed procedure to find GCD of 945, 540, 565, 676?

You can find a detailed procedure to find GCD of 945, 540, 565, 676 on our page.

3. How to find GCD of 945, 540, 565, 676 on a calculator?

You can find the GCD of 945, 540, 565, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.