GCD of 968, 465, 698, 178 Calculator

Given Input numbers are 968, 465, 698, 178

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 698

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

1, 2, 349, 698

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 968, 465, 698, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 465, 698, 178 is 1.

Therefore, GCD of numbers 968, 465, 698, 178 is 1

Given Input Data is 968, 465, 698, 178

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 698 is 2 x 349

Prime Factorization of 178 is 2 x 89

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(968, 465) = 450120

GCD(968, 465) = ( 968 x 465 ) / 450120

GCD(968, 465) = 450120 / 450120

GCD(968, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 968, 465, 698, 178 is 1

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1. What is the GCD of 968, 465, 698, 178?

GCD of 968, 465, 698, 178 is 1

2. Where do I get the detailed procedure to find GCD of 968, 465, 698, 178?

You can find a detailed procedure to find GCD of 968, 465, 698, 178 on our page.

3. How to find GCD of 968, 465, 698, 178 on a calculator?

You can find the GCD of 968, 465, 698, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.