GCD of 700, 450, 99, 779 Calculator

Given Input numbers are 700, 450, 99, 779

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

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 700, 450, 99, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 450, 99, 779 is 1.

Therefore, GCD of numbers 700, 450, 99, 779 is 1

Given Input Data is 700, 450, 99, 779

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

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 779 is 19 x 41

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(700, 450) = 6300

GCD(700, 450) = ( 700 x 450 ) / 6300

GCD(700, 450) = 315000 / 6300

GCD(700, 450) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 99

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

LCM(50, 99) = 4950

GCD(50, 99) = ( 50 x 99 ) / 4950

GCD(50, 99) = 4950 / 4950

GCD(50, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 700, 450, 99, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 900, 63, 470
• GCD of 211, 729, 43, 768
• GCD of 455, 975, 99, 746
• GCD of 336, 852, 45, 833
• GCD of 397, 197, 33, 178

1. What is the GCD of 700, 450, 99, 779?

GCD of 700, 450, 99, 779 is 1

2. Where do I get the detailed procedure to find GCD of 700, 450, 99, 779?

You can find a detailed procedure to find GCD of 700, 450, 99, 779 on our page.

3. How to find GCD of 700, 450, 99, 779 on a calculator?

You can find the GCD of 700, 450, 99, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.