GCD of 315, 740, 891, 145 Calculator

Given Input numbers are 315, 740, 891, 145

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 315, 740, 891, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 740, 891, 145 is 1.

Therefore, GCD of numbers 315, 740, 891, 145 is 1

Given Input Data is 315, 740, 891, 145

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 145 is 5 x 29

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(315, 740) = 46620

GCD(315, 740) = ( 315 x 740 ) / 46620

GCD(315, 740) = 233100 / 46620

GCD(315, 740) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 891

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

LCM(5, 891) = 4455

GCD(5, 891) = ( 5 x 891 ) / 4455

GCD(5, 891) = 4455 / 4455

GCD(5, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 315, 740, 891, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 397, 771, 567
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• GCD of 392, 719, 366, 147

1. What is the GCD of 315, 740, 891, 145?

GCD of 315, 740, 891, 145 is 1

2. Where do I get the detailed procedure to find GCD of 315, 740, 891, 145?

You can find a detailed procedure to find GCD of 315, 740, 891, 145 on our page.

3. How to find GCD of 315, 740, 891, 145 on a calculator?

You can find the GCD of 315, 740, 891, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.