GCD of 114, 670, 540, 691 Calculator

Given Input numbers are 114, 670, 540, 691

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 114, 670, 540, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 670, 540, 691 is 1.

Therefore, GCD of numbers 114, 670, 540, 691 is 1

Given Input Data is 114, 670, 540, 691

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 691 is 691

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(114, 670) = 38190

GCD(114, 670) = ( 114 x 670 ) / 38190

GCD(114, 670) = 76380 / 38190

GCD(114, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

GCD of 114, 670, 540, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 166, 551, 310
• GCD of 867, 613, 853, 862
• GCD of 301, 794, 348, 649
• GCD of 432, 870, 764, 683
• GCD of 712, 574, 151, 271

1. What is the GCD of 114, 670, 540, 691?

GCD of 114, 670, 540, 691 is 1

2. Where do I get the detailed procedure to find GCD of 114, 670, 540, 691?

You can find a detailed procedure to find GCD of 114, 670, 540, 691 on our page.

3. How to find GCD of 114, 670, 540, 691 on a calculator?

You can find the GCD of 114, 670, 540, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.