GCD of 80, 620, 874, 190 Calculator

Given Input numbers are 80, 620, 874, 190

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 80, 620, 874, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 620, 874, 190 is 2.

Therefore, GCD of numbers 80, 620, 874, 190 is 2

Given Input Data is 80, 620, 874, 190

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 190 is 2 x 5 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(80, 620) = 2480

GCD(80, 620) = ( 80 x 620 ) / 2480

GCD(80, 620) = 49600 / 2480

GCD(80, 620) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 874

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

LCM(20, 874) = 8740

GCD(20, 874) = ( 20 x 874 ) / 8740

GCD(20, 874) = 17480 / 8740

GCD(20, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 190

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

LCM(2, 190) = 190

GCD(2, 190) = ( 2 x 190 ) / 190

GCD(2, 190) = 380 / 190

GCD(2, 190) = 2

GCD of 80, 620, 874, 190 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 916, 893, 525
• GCD of 34, 443, 206, 875
• GCD of 39, 987, 231, 926
• GCD of 35, 617, 339, 310
• GCD of 55, 836, 934, 279

1. What is the GCD of 80, 620, 874, 190?

GCD of 80, 620, 874, 190 is 2

2. Where do I get the detailed procedure to find GCD of 80, 620, 874, 190?

You can find a detailed procedure to find GCD of 80, 620, 874, 190 on our page.

3. How to find GCD of 80, 620, 874, 190 on a calculator?

You can find the GCD of 80, 620, 874, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.