GCD of 147, 245, 77, 698 Calculator

Given Input numbers are 147, 245, 77, 698

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 147, 245, 77, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 245, 77, 698 is 1.

Therefore, GCD of numbers 147, 245, 77, 698 is 1

Given Input Data is 147, 245, 77, 698

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 698 is 2 x 349

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(147, 245) = 735

GCD(147, 245) = ( 147 x 245 ) / 735

GCD(147, 245) = 36015 / 735

GCD(147, 245) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 77

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

LCM(49, 77) = 539

GCD(49, 77) = ( 49 x 77 ) / 539

GCD(49, 77) = 3773 / 539

GCD(49, 77) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 698

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

LCM(7, 698) = 4886

GCD(7, 698) = ( 7 x 698 ) / 4886

GCD(7, 698) = 4886 / 4886

GCD(7, 698) = 1

GCD of 147, 245, 77, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 227, 23, 976
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• GCD of 214, 411, 52, 698
• GCD of 967, 952, 24, 465
• GCD of 169, 814, 57, 277

1. What is the GCD of 147, 245, 77, 698?

GCD of 147, 245, 77, 698 is 1

2. Where do I get the detailed procedure to find GCD of 147, 245, 77, 698?

You can find a detailed procedure to find GCD of 147, 245, 77, 698 on our page.

3. How to find GCD of 147, 245, 77, 698 on a calculator?

You can find the GCD of 147, 245, 77, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.