GCD of 442, 506, 254, 220 Calculator

Given Input numbers are 442, 506, 254, 220

In the factoring method, we have to find the divisors of all numbers

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 506, 254, 220) = 2.

Given numbers are 442, 506, 254, 220

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 506 are 2 x 11 x 23

Prime factors of 254 are 2 x 127

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 442, 506, 254, 220 is 2.

Given numbers are 442, 506, 254, 220

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(442, 506) = 111826

GCD(442, 506) = ( 442 x 506 ) / 111826

= 442 / 506

= 442

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 442, 506, 254, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 804, 797, 178
• GCD of 365, 734, 926, 815
• GCD of 593, 351, 587, 764
• GCD of 711, 589, 989, 931
• GCD of 926, 439, 524, 859

Given numbers are 442, 506, 254, 220
The greatest common divisor of numbers 442, 506, 254, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 506, 254, 220 is 2.

1. What is the GCD of 442, 506, 254, 220?

GCD of given numbers 442, 506, 254, 220 is 2

2. How to calculate the greatest common divisor of 442, 506, 254, 220?

We can find the highest common divisor of 442, 506, 254, 220 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 442, 506, 254, 220 i.e 2.

3. How can I use the GCD of 442, 506, 254, 220Calculator?

Out the numbers 442, 506, 254, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.