GCD of 298, 874, 77, 620 Calculator

Given Input numbers are 298, 874, 77, 620

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 298, 874, 77, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 874, 77, 620 is 1.

Therefore, GCD of numbers 298, 874, 77, 620 is 1

Given Input Data is 298, 874, 77, 620

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 77 is 7 x 11

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

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(298, 874) = 130226

GCD(298, 874) = ( 298 x 874 ) / 130226

GCD(298, 874) = 260452 / 130226

GCD(298, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 298, 874, 77, 620 is 1

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1. What is the GCD of 298, 874, 77, 620?

GCD of 298, 874, 77, 620 is 1

2. Where do I get the detailed procedure to find GCD of 298, 874, 77, 620?

You can find a detailed procedure to find GCD of 298, 874, 77, 620 on our page.

3. How to find GCD of 298, 874, 77, 620 on a calculator?

You can find the GCD of 298, 874, 77, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.