GCD of 174, 248, 85, 702 Calculator

Given Input numbers are 174, 248, 85, 702

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 174, 248, 85, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 248, 85, 702 is 1.

Therefore, GCD of numbers 174, 248, 85, 702 is 1

Given Input Data is 174, 248, 85, 702

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(174, 248) = 21576

GCD(174, 248) = ( 174 x 248 ) / 21576

GCD(174, 248) = 43152 / 21576

GCD(174, 248) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 174, 248, 85, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 735, 50, 619
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• GCD of 800, 277, 92, 642

1. What is the GCD of 174, 248, 85, 702?

GCD of 174, 248, 85, 702 is 1

2. Where do I get the detailed procedure to find GCD of 174, 248, 85, 702?

You can find a detailed procedure to find GCD of 174, 248, 85, 702 on our page.

3. How to find GCD of 174, 248, 85, 702 on a calculator?

You can find the GCD of 174, 248, 85, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.