GCD of 398, 478, 984, 220 Calculator

Given Input numbers are 398, 478, 984, 220

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 (398, 478, 984, 220) = 2.

Given numbers are 398, 478, 984, 220

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 478 are 2 x 239

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 398, 478, 984, 220 is 2.

Given numbers are 398, 478, 984, 220

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

Apply this formula for all numbers.

Step1:

LCM(398, 478) = 95122

GCD(398, 478) = ( 398 x 478 ) / 95122

= 398 / 478

= 398

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 220) = 220

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

= 2 / 220

= 2

So, Greatest Common Divisor of 398, 478, 984, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 625, 454, 505
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Given numbers are 398, 478, 984, 220
The greatest common divisor of numbers 398, 478, 984, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 478, 984, 220 is 2.

1. What is the GCD of 398, 478, 984, 220?

GCD of given numbers 398, 478, 984, 220 is 2

2. How to calculate the greatest common divisor of 398, 478, 984, 220?

We can find the highest common divisor of 398, 478, 984, 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 398, 478, 984, 220 i.e 2.

3. How can I use the GCD of 398, 478, 984, 220Calculator?

Out the numbers 398, 478, 984, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.