GCD of 78, 976, 698, 153 Calculator

Given Input numbers are 78, 976, 698, 153

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 698

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

1, 2, 349, 698

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 78, 976, 698, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 976, 698, 153 is 1.

Therefore, GCD of numbers 78, 976, 698, 153 is 1

Given Input Data is 78, 976, 698, 153

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 698 is 2 x 349

Prime Factorization of 153 is 3 x 3 x 17

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(78, 976) = 38064

GCD(78, 976) = ( 78 x 976 ) / 38064

GCD(78, 976) = 76128 / 38064

GCD(78, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 78, 976, 698, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 480, 186, 791
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• GCD of 12, 485, 494, 455
• GCD of 18, 818, 350, 675
• GCD of 92, 839, 263, 561

1. What is the GCD of 78, 976, 698, 153?

GCD of 78, 976, 698, 153 is 1

2. Where do I get the detailed procedure to find GCD of 78, 976, 698, 153?

You can find a detailed procedure to find GCD of 78, 976, 698, 153 on our page.

3. How to find GCD of 78, 976, 698, 153 on a calculator?

You can find the GCD of 78, 976, 698, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.