GCD of 745, 270, 700, 718 Calculator

Given Input numbers are 745, 270, 700, 718

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 718

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

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 745, 270, 700, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 270, 700, 718 is 1.

Therefore, GCD of numbers 745, 270, 700, 718 is 1

Given Input Data is 745, 270, 700, 718

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 718 is 2 x 359

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(745, 270) = 40230

GCD(745, 270) = ( 745 x 270 ) / 40230

GCD(745, 270) = 201150 / 40230

GCD(745, 270) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 700

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

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

GCD(5, 700) = 3500 / 700

GCD(5, 700) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 718

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

LCM(5, 718) = 3590

GCD(5, 718) = ( 5 x 718 ) / 3590

GCD(5, 718) = 3590 / 3590

GCD(5, 718) = 1

GCD of 745, 270, 700, 718 is 1

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1. What is the GCD of 745, 270, 700, 718?

GCD of 745, 270, 700, 718 is 1

2. Where do I get the detailed procedure to find GCD of 745, 270, 700, 718?

You can find a detailed procedure to find GCD of 745, 270, 700, 718 on our page.

3. How to find GCD of 745, 270, 700, 718 on a calculator?

You can find the GCD of 745, 270, 700, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.