GCD of 712, 640, 989, 435 Calculator

Given Input numbers are 712, 640, 989, 435

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 712, 640, 989, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 640, 989, 435 is 1.

Therefore, GCD of numbers 712, 640, 989, 435 is 1

Given Input Data is 712, 640, 989, 435

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 989 is 23 x 43

Prime Factorization of 435 is 3 x 5 x 29

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(712, 640) = 56960

GCD(712, 640) = ( 712 x 640 ) / 56960

GCD(712, 640) = 455680 / 56960

GCD(712, 640) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 989

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

LCM(8, 989) = 7912

GCD(8, 989) = ( 8 x 989 ) / 7912

GCD(8, 989) = 7912 / 7912

GCD(8, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 712, 640, 989, 435 is 1

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• GCD of 723, 403, 914, 135
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1. What is the GCD of 712, 640, 989, 435?

GCD of 712, 640, 989, 435 is 1

2. Where do I get the detailed procedure to find GCD of 712, 640, 989, 435?

You can find a detailed procedure to find GCD of 712, 640, 989, 435 on our page.

3. How to find GCD of 712, 640, 989, 435 on a calculator?

You can find the GCD of 712, 640, 989, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.