GCD of 648, 733, 989, 700 Calculator

Given Input numbers are 648, 733, 989, 700

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 989

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

1, 23, 43, 989

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

Greatest Common Divisior

We found the divisors of 648, 733, 989, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 733, 989, 700 is 1.

Therefore, GCD of numbers 648, 733, 989, 700 is 1

Given Input Data is 648, 733, 989, 700

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 733 is 733

Prime Factorization of 989 is 23 x 43

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

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(648, 733) = 474984

GCD(648, 733) = ( 648 x 733 ) / 474984

GCD(648, 733) = 474984 / 474984

GCD(648, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 648, 733, 989, 700 is 1

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1. What is the GCD of 648, 733, 989, 700?

GCD of 648, 733, 989, 700 is 1

2. Where do I get the detailed procedure to find GCD of 648, 733, 989, 700?

You can find a detailed procedure to find GCD of 648, 733, 989, 700 on our page.

3. How to find GCD of 648, 733, 989, 700 on a calculator?

You can find the GCD of 648, 733, 989, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.