GCD of 746, 880, 278, 298 Calculator

Given Input numbers are 746, 880, 278, 298

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 746, 880, 278, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 880, 278, 298 is 2.

Therefore, GCD of numbers 746, 880, 278, 298 is 2

Given Input Data is 746, 880, 278, 298

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

Prime Factorization of 746 is 2 x 373

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

Prime Factorization of 278 is 2 x 139

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(746, 880) = 328240

GCD(746, 880) = ( 746 x 880 ) / 328240

GCD(746, 880) = 656480 / 328240

GCD(746, 880) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 746, 880, 278, 298 is 2

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• GCD of 231, 294, 502, 849
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1. What is the GCD of 746, 880, 278, 298?

GCD of 746, 880, 278, 298 is 2

2. Where do I get the detailed procedure to find GCD of 746, 880, 278, 298?

You can find a detailed procedure to find GCD of 746, 880, 278, 298 on our page.

3. How to find GCD of 746, 880, 278, 298 on a calculator?

You can find the GCD of 746, 880, 278, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.