GCD of 305, 748, 59, 701 Calculator

Given Input numbers are 305, 748, 59, 701

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 701

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

1, 701

Greatest Common Divisior

We found the divisors of 305, 748, 59, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 748, 59, 701 is 1.

Therefore, GCD of numbers 305, 748, 59, 701 is 1

Given Input Data is 305, 748, 59, 701

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 59 is 59

Prime Factorization of 701 is 701

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(305, 748) = 228140

GCD(305, 748) = ( 305 x 748 ) / 228140

GCD(305, 748) = 228140 / 228140

GCD(305, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 305, 748, 59, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 617, 20, 894
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• GCD of 108, 527, 81, 969
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• GCD of 437, 884, 20, 865

1. What is the GCD of 305, 748, 59, 701?

GCD of 305, 748, 59, 701 is 1

2. Where do I get the detailed procedure to find GCD of 305, 748, 59, 701?

You can find a detailed procedure to find GCD of 305, 748, 59, 701 on our page.

3. How to find GCD of 305, 748, 59, 701 on a calculator?

You can find the GCD of 305, 748, 59, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.