GCD of 220, 754, 74, 348 Calculator

Given Input numbers are 220, 754, 74, 348

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 220, 754, 74, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 754, 74, 348 is 2.

Therefore, GCD of numbers 220, 754, 74, 348 is 2

Given Input Data is 220, 754, 74, 348

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(220, 754) = 82940

GCD(220, 754) = ( 220 x 754 ) / 82940

GCD(220, 754) = 165880 / 82940

GCD(220, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 220, 754, 74, 348 is 2

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1. What is the GCD of 220, 754, 74, 348?

GCD of 220, 754, 74, 348 is 2

2. Where do I get the detailed procedure to find GCD of 220, 754, 74, 348?

You can find a detailed procedure to find GCD of 220, 754, 74, 348 on our page.

3. How to find GCD of 220, 754, 74, 348 on a calculator?

You can find the GCD of 220, 754, 74, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.