GCD of 309, 157, 914, 737 Calculator

Given Input numbers are 309, 157, 914, 737

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 309, 157, 914, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 157, 914, 737 is 1.

Therefore, GCD of numbers 309, 157, 914, 737 is 1

Given Input Data is 309, 157, 914, 737

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 157 is 157

Prime Factorization of 914 is 2 x 457

Prime Factorization of 737 is 11 x 67

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(309, 157) = 48513

GCD(309, 157) = ( 309 x 157 ) / 48513

GCD(309, 157) = 48513 / 48513

GCD(309, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 309, 157, 914, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 630, 158, 344
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• GCD of 573, 993, 657, 393
• GCD of 578, 459, 232, 454

1. What is the GCD of 309, 157, 914, 737?

GCD of 309, 157, 914, 737 is 1

2. Where do I get the detailed procedure to find GCD of 309, 157, 914, 737?

You can find a detailed procedure to find GCD of 309, 157, 914, 737 on our page.

3. How to find GCD of 309, 157, 914, 737 on a calculator?

You can find the GCD of 309, 157, 914, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.