GCD of 670, 874, 825, 346 Calculator

Given Input numbers are 670, 874, 825, 346

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 670, 874, 825, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 874, 825, 346 is 1.

Therefore, GCD of numbers 670, 874, 825, 346 is 1

Given Input Data is 670, 874, 825, 346

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 874 is 2 x 19 x 23

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 346 is 2 x 173

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(670, 874) = 292790

GCD(670, 874) = ( 670 x 874 ) / 292790

GCD(670, 874) = 585580 / 292790

GCD(670, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 670, 874, 825, 346 is 1

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1. What is the GCD of 670, 874, 825, 346?

GCD of 670, 874, 825, 346 is 1

2. Where do I get the detailed procedure to find GCD of 670, 874, 825, 346?

You can find a detailed procedure to find GCD of 670, 874, 825, 346 on our page.

3. How to find GCD of 670, 874, 825, 346 on a calculator?

You can find the GCD of 670, 874, 825, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.