GCD of 698, 971, 306, 265 Calculator

Given Input numbers are 698, 971, 306, 265

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 698, 971, 306, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 971, 306, 265 is 1.

Therefore, GCD of numbers 698, 971, 306, 265 is 1

Given Input Data is 698, 971, 306, 265

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 971 is 971

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 265 is 5 x 53

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, 971) = 677758

GCD(698, 971) = ( 698 x 971 ) / 677758

GCD(698, 971) = 677758 / 677758

GCD(698, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 698, 971, 306, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 272, 767, 959
• GCD of 226, 660, 210, 898
• GCD of 612, 377, 323, 802
• GCD of 300, 740, 324, 225
• GCD of 260, 498, 149, 553

1. What is the GCD of 698, 971, 306, 265?

GCD of 698, 971, 306, 265 is 1

2. Where do I get the detailed procedure to find GCD of 698, 971, 306, 265?

You can find a detailed procedure to find GCD of 698, 971, 306, 265 on our page.

3. How to find GCD of 698, 971, 306, 265 on a calculator?

You can find the GCD of 698, 971, 306, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.