GCD of 745, 701, 21, 145 Calculator

Given Input numbers are 745, 701, 21, 145

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 745, 701, 21, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 701, 21, 145 is 1.

Therefore, GCD of numbers 745, 701, 21, 145 is 1

Given Input Data is 745, 701, 21, 145

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 701 is 701

Prime Factorization of 21 is 3 x 7

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(745, 701) = 522245

GCD(745, 701) = ( 745 x 701 ) / 522245

GCD(745, 701) = 522245 / 522245

GCD(745, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 745, 701, 21, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 203, 44, 664
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• GCD of 657, 549, 48, 225

1. What is the GCD of 745, 701, 21, 145?

GCD of 745, 701, 21, 145 is 1

2. Where do I get the detailed procedure to find GCD of 745, 701, 21, 145?

You can find a detailed procedure to find GCD of 745, 701, 21, 145 on our page.

3. How to find GCD of 745, 701, 21, 145 on a calculator?

You can find the GCD of 745, 701, 21, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.