GCD of 745, 720, 69, 914 Calculator

Given Input numbers are 745, 720, 69, 914

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 745, 720, 69, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 720, 69, 914 is 1.

Therefore, GCD of numbers 745, 720, 69, 914 is 1

Given Input Data is 745, 720, 69, 914

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 69 is 3 x 23

Prime Factorization of 914 is 2 x 457

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, 720) = 107280

GCD(745, 720) = ( 745 x 720 ) / 107280

GCD(745, 720) = 536400 / 107280

GCD(745, 720) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 69

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

LCM(5, 69) = 345

GCD(5, 69) = ( 5 x 69 ) / 345

GCD(5, 69) = 345 / 345

GCD(5, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 745, 720, 69, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 785, 89, 368
• GCD of 208, 613, 49, 290
• GCD of 156, 573, 95, 611
• GCD of 588, 490, 83, 925
• GCD of 333, 419, 91, 956

1. What is the GCD of 745, 720, 69, 914?

GCD of 745, 720, 69, 914 is 1

2. Where do I get the detailed procedure to find GCD of 745, 720, 69, 914?

You can find a detailed procedure to find GCD of 745, 720, 69, 914 on our page.

3. How to find GCD of 745, 720, 69, 914 on a calculator?

You can find the GCD of 745, 720, 69, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.