GCD of 706, 960, 90, 745 Calculator

Given Input numbers are 706, 960, 90, 745

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 745

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

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 706, 960, 90, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 960, 90, 745 is 1.

Therefore, GCD of numbers 706, 960, 90, 745 is 1

Given Input Data is 706, 960, 90, 745

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 745 is 5 x 149

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(706, 960) = 338880

GCD(706, 960) = ( 706 x 960 ) / 338880

GCD(706, 960) = 677760 / 338880

GCD(706, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 706, 960, 90, 745 is 1

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1. What is the GCD of 706, 960, 90, 745?

GCD of 706, 960, 90, 745 is 1

2. Where do I get the detailed procedure to find GCD of 706, 960, 90, 745?

You can find a detailed procedure to find GCD of 706, 960, 90, 745 on our page.

3. How to find GCD of 706, 960, 90, 745 on a calculator?

You can find the GCD of 706, 960, 90, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.