GCD of 880, 536, 420, 298 Calculator

Given Input numbers are 880, 536, 420, 298

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 880, 536, 420, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 536, 420, 298 is 2.

Therefore, GCD of numbers 880, 536, 420, 298 is 2

Given Input Data is 880, 536, 420, 298

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 298 is 2 x 149

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(880, 536) = 58960

GCD(880, 536) = ( 880 x 536 ) / 58960

GCD(880, 536) = 471680 / 58960

GCD(880, 536) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 420

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

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

GCD(8, 420) = 3360 / 840

GCD(8, 420) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 298

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

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

GCD(4, 298) = 1192 / 596

GCD(4, 298) = 2

GCD of 880, 536, 420, 298 is 2

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1. What is the GCD of 880, 536, 420, 298?

GCD of 880, 536, 420, 298 is 2

2. Where do I get the detailed procedure to find GCD of 880, 536, 420, 298?

You can find a detailed procedure to find GCD of 880, 536, 420, 298 on our page.

3. How to find GCD of 880, 536, 420, 298 on a calculator?

You can find the GCD of 880, 536, 420, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.