GCD of 79, 700, 966, 450 Calculator

Given Input numbers are 79, 700, 966, 450

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

Greatest Common Divisior

We found the divisors of 79, 700, 966, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 700, 966, 450 is 1.

Therefore, GCD of numbers 79, 700, 966, 450 is 1

Given Input Data is 79, 700, 966, 450

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

Prime Factorization of 79 is 79

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

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(79, 700) = 55300

GCD(79, 700) = ( 79 x 700 ) / 55300

GCD(79, 700) = 55300 / 55300

GCD(79, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 79, 700, 966, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 366, 512, 348
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• GCD of 44, 361, 818, 801
• GCD of 24, 414, 183, 161
• GCD of 93, 586, 456, 730

1. What is the GCD of 79, 700, 966, 450?

GCD of 79, 700, 966, 450 is 1

2. Where do I get the detailed procedure to find GCD of 79, 700, 966, 450?

You can find a detailed procedure to find GCD of 79, 700, 966, 450 on our page.

3. How to find GCD of 79, 700, 966, 450 on a calculator?

You can find the GCD of 79, 700, 966, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.