GCD of 96, 837, 314, 534 Calculator

Given Input numbers are 96, 837, 314, 534

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 96, 837, 314, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 837, 314, 534 is 1.

Therefore, GCD of numbers 96, 837, 314, 534 is 1

Given Input Data is 96, 837, 314, 534

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 314 is 2 x 157

Prime Factorization of 534 is 2 x 3 x 89

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(96, 837) = 26784

GCD(96, 837) = ( 96 x 837 ) / 26784

GCD(96, 837) = 80352 / 26784

GCD(96, 837) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

GCD of 96, 837, 314, 534 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 711, 600, 290
• GCD of 91, 748, 176, 980
• GCD of 37, 267, 240, 318
• GCD of 13, 765, 394, 992
• GCD of 84, 141, 668, 773

1. What is the GCD of 96, 837, 314, 534?

GCD of 96, 837, 314, 534 is 1

2. Where do I get the detailed procedure to find GCD of 96, 837, 314, 534?

You can find a detailed procedure to find GCD of 96, 837, 314, 534 on our page.

3. How to find GCD of 96, 837, 314, 534 on a calculator?

You can find the GCD of 96, 837, 314, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.