GCD of 801, 240, 74, 178 Calculator

Given Input numbers are 801, 240, 74, 178

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 801, 240, 74, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 240, 74, 178 is 1.

Therefore, GCD of numbers 801, 240, 74, 178 is 1

Given Input Data is 801, 240, 74, 178

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

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 74 is 2 x 37

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(801, 240) = 64080

GCD(801, 240) = ( 801 x 240 ) / 64080

GCD(801, 240) = 192240 / 64080

GCD(801, 240) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 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 801, 240, 74, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 652, 50, 479
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• GCD of 757, 312, 11, 885
• GCD of 582, 545, 43, 111
• GCD of 663, 416, 55, 777

1. What is the GCD of 801, 240, 74, 178?

GCD of 801, 240, 74, 178 is 1

2. Where do I get the detailed procedure to find GCD of 801, 240, 74, 178?

You can find a detailed procedure to find GCD of 801, 240, 74, 178 on our page.

3. How to find GCD of 801, 240, 74, 178 on a calculator?

You can find the GCD of 801, 240, 74, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.