GCD of 67, 698, 978, 258 Calculator

Given Input numbers are 67, 698, 978, 258

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 698

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

1, 2, 349, 698

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 67, 698, 978, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 698, 978, 258 is 1.

Therefore, GCD of numbers 67, 698, 978, 258 is 1

Given Input Data is 67, 698, 978, 258

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

Prime Factorization of 67 is 67

Prime Factorization of 698 is 2 x 349

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 258 is 2 x 3 x 43

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(67, 698) = 46766

GCD(67, 698) = ( 67 x 698 ) / 46766

GCD(67, 698) = 46766 / 46766

GCD(67, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 67, 698, 978, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 468, 133, 495
• GCD of 90, 553, 992, 546
• GCD of 50, 273, 599, 402
• GCD of 23, 974, 600, 996
• GCD of 43, 616, 340, 491

1. What is the GCD of 67, 698, 978, 258?

GCD of 67, 698, 978, 258 is 1

2. Where do I get the detailed procedure to find GCD of 67, 698, 978, 258?

You can find a detailed procedure to find GCD of 67, 698, 978, 258 on our page.

3. How to find GCD of 67, 698, 978, 258 on a calculator?

You can find the GCD of 67, 698, 978, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.