GCD of 701, 338, 775, 315 Calculator

Given Input numbers are 701, 338, 775, 315

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

Divisors of 701

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

1, 701

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

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

Greatest Common Divisior

We found the divisors of 701, 338, 775, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 338, 775, 315 is 1.

Therefore, GCD of numbers 701, 338, 775, 315 is 1

Given Input Data is 701, 338, 775, 315

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

Prime Factorization of 701 is 701

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 775 is 5 x 5 x 31

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

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(701, 338) = 236938

GCD(701, 338) = ( 701 x 338 ) / 236938

GCD(701, 338) = 236938 / 236938

GCD(701, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 701, 338, 775, 315 is 1

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• GCD of 563, 138, 465, 958
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1. What is the GCD of 701, 338, 775, 315?

GCD of 701, 338, 775, 315 is 1

2. Where do I get the detailed procedure to find GCD of 701, 338, 775, 315?

You can find a detailed procedure to find GCD of 701, 338, 775, 315 on our page.

3. How to find GCD of 701, 338, 775, 315 on a calculator?

You can find the GCD of 701, 338, 775, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.