GCD of 628, 869, 90, 700 Calculator

Given Input numbers are 628, 869, 90, 700

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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 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 628, 869, 90, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 869, 90, 700 is 1.

Therefore, GCD of numbers 628, 869, 90, 700 is 1

Given Input Data is 628, 869, 90, 700

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 869 is 11 x 79

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

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(628, 869) = 545732

GCD(628, 869) = ( 628 x 869 ) / 545732

GCD(628, 869) = 545732 / 545732

GCD(628, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 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 628, 869, 90, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 692, 80, 750
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• GCD of 501, 846, 25, 564

1. What is the GCD of 628, 869, 90, 700?

GCD of 628, 869, 90, 700 is 1

2. Where do I get the detailed procedure to find GCD of 628, 869, 90, 700?

You can find a detailed procedure to find GCD of 628, 869, 90, 700 on our page.

3. How to find GCD of 628, 869, 90, 700 on a calculator?

You can find the GCD of 628, 869, 90, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.