GCD of 718, 105, 74, 153 Calculator

Given Input numbers are 718, 105, 74, 153

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 74

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

1, 2, 37, 74

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 718, 105, 74, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 105, 74, 153 is 1.

Therefore, GCD of numbers 718, 105, 74, 153 is 1

Given Input Data is 718, 105, 74, 153

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 74 is 2 x 37

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(718, 105) = 75390

GCD(718, 105) = ( 718 x 105 ) / 75390

GCD(718, 105) = 75390 / 75390

GCD(718, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 718, 105, 74, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 710, 22, 423
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• GCD of 880, 655, 37, 192
• GCD of 703, 404, 75, 143
• GCD of 402, 729, 93, 122

1. What is the GCD of 718, 105, 74, 153?

GCD of 718, 105, 74, 153 is 1

2. Where do I get the detailed procedure to find GCD of 718, 105, 74, 153?

You can find a detailed procedure to find GCD of 718, 105, 74, 153 on our page.

3. How to find GCD of 718, 105, 74, 153 on a calculator?

You can find the GCD of 718, 105, 74, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.