GCD of 670, 815, 280, 600 Calculator

Given Input numbers are 670, 815, 280, 600

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 670, 815, 280, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 815, 280, 600 is 5.

Therefore, GCD of numbers 670, 815, 280, 600 is 5

Given Input Data is 670, 815, 280, 600

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 815 is 5 x 163

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(670, 815) = 109210

GCD(670, 815) = ( 670 x 815 ) / 109210

GCD(670, 815) = 546050 / 109210

GCD(670, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 280

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

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

GCD(5, 280) = 1400 / 280

GCD(5, 280) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 600

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

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

GCD(5, 600) = 3000 / 600

GCD(5, 600) = 5

GCD of 670, 815, 280, 600 is 5

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1. What is the GCD of 670, 815, 280, 600?

GCD of 670, 815, 280, 600 is 5

2. Where do I get the detailed procedure to find GCD of 670, 815, 280, 600?

You can find a detailed procedure to find GCD of 670, 815, 280, 600 on our page.

3. How to find GCD of 670, 815, 280, 600 on a calculator?

You can find the GCD of 670, 815, 280, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.