GCD of 45, 616, 537, 374 Calculator

Given Input numbers are 45, 616, 537, 374

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 45, 616, 537, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 616, 537, 374 is 1.

Therefore, GCD of numbers 45, 616, 537, 374 is 1

Given Input Data is 45, 616, 537, 374

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 537 is 3 x 179

Prime Factorization of 374 is 2 x 11 x 17

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(45, 616) = 27720

GCD(45, 616) = ( 45 x 616 ) / 27720

GCD(45, 616) = 27720 / 27720

GCD(45, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 45, 616, 537, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 688, 672, 843
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• GCD of 57, 812, 491, 367
• GCD of 85, 754, 166, 486
• GCD of 91, 626, 380, 183

1. What is the GCD of 45, 616, 537, 374?

GCD of 45, 616, 537, 374 is 1

2. Where do I get the detailed procedure to find GCD of 45, 616, 537, 374?

You can find a detailed procedure to find GCD of 45, 616, 537, 374 on our page.

3. How to find GCD of 45, 616, 537, 374 on a calculator?

You can find the GCD of 45, 616, 537, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.