GCD of 307, 316, 85, 746 Calculator

Given Input numbers are 307, 316, 85, 746

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 307, 316, 85, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 316, 85, 746 is 1.

Therefore, GCD of numbers 307, 316, 85, 746 is 1

Given Input Data is 307, 316, 85, 746

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

Prime Factorization of 307 is 307

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 85 is 5 x 17

Prime Factorization of 746 is 2 x 373

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(307, 316) = 97012

GCD(307, 316) = ( 307 x 316 ) / 97012

GCD(307, 316) = 97012 / 97012

GCD(307, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 307, 316, 85, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 534, 17, 681
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• GCD of 360, 265, 47, 606
• GCD of 126, 742, 36, 831
• GCD of 607, 570, 52, 495

1. What is the GCD of 307, 316, 85, 746?

GCD of 307, 316, 85, 746 is 1

2. Where do I get the detailed procedure to find GCD of 307, 316, 85, 746?

You can find a detailed procedure to find GCD of 307, 316, 85, 746 on our page.

3. How to find GCD of 307, 316, 85, 746 on a calculator?

You can find the GCD of 307, 316, 85, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.