GCD of 800, 465, 700 Calculator

Given Input numbers are 800, 465, 700

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 800, 465, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 465, 700 is 5.

Therefore, GCD of numbers 800, 465, 700 is 5

Given Input Data is 800, 465, 700

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 465 is 3 x 5 x 31

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(800, 465) = 74400

GCD(800, 465) = ( 800 x 465 ) / 74400

GCD(800, 465) = 372000 / 74400

GCD(800, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 700

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

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

GCD(5, 700) = 3500 / 700

GCD(5, 700) = 5

GCD of 800, 465, 700 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 111, 932
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• GCD of 132, 814, 869
• GCD of 416, 438, 476
• GCD of 651, 589, 126

1. What is the GCD of 800, 465, 700?

GCD of 800, 465, 700 is 5

2. Where do I get the detailed procedure to find GCD of 800, 465, 700?

You can find a detailed procedure to find GCD of 800, 465, 700 on our page.

3. How to find GCD of 800, 465, 700 on a calculator?

You can find the GCD of 800, 465, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.