GCD of 698, 454, 316, 117 Calculator

Given Input numbers are 698, 454, 316, 117

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 698, 454, 316, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 454, 316, 117 is 1.

Therefore, GCD of numbers 698, 454, 316, 117 is 1

Given Input Data is 698, 454, 316, 117

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 454 is 2 x 227

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 117 is 3 x 3 x 13

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(698, 454) = 158446

GCD(698, 454) = ( 698 x 454 ) / 158446

GCD(698, 454) = 316892 / 158446

GCD(698, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 698, 454, 316, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 154, 687, 183
• GCD of 544, 746, 945, 688
• GCD of 444, 218, 611, 258
• GCD of 445, 921, 228, 153
• GCD of 120, 775, 441, 124

1. What is the GCD of 698, 454, 316, 117?

GCD of 698, 454, 316, 117 is 1

2. Where do I get the detailed procedure to find GCD of 698, 454, 316, 117?

You can find a detailed procedure to find GCD of 698, 454, 316, 117 on our page.

3. How to find GCD of 698, 454, 316, 117 on a calculator?

You can find the GCD of 698, 454, 316, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.