GCD of 654, 420, 220, 228 Calculator

Given Input numbers are 654, 420, 220, 228

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

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 220 :

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

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (654, 420, 220, 228) = 2.

Given numbers are 654, 420, 220, 228

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 654, 420, 220, 228 is 2.

Given numbers are 654, 420, 220, 228

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

Apply this formula for all numbers.

Step1:

LCM(654, 420) = 45780

GCD(654, 420) = ( 654 x 420 ) / 45780

= 654 / 420

= 654

Step2:

LCM(6, 220) = 660

GCD(6, 220) = ( 6 x 220 ) / 660

= 6 / 220

= 6

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 654, 420, 220, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 366, 743, 333
• GCD of 945, 562, 487, 262
• GCD of 137, 110, 105, 163
• GCD of 351, 956, 775, 764
• GCD of 579, 195, 937, 150

Given numbers are 654, 420, 220, 228
The greatest common divisor of numbers 654, 420, 220, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 420, 220, 228 is 2.

1. What is the GCD of 654, 420, 220, 228?

GCD of given numbers 654, 420, 220, 228 is 2

2. How to calculate the greatest common divisor of 654, 420, 220, 228?

We can find the highest common divisor of 654, 420, 220, 228 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 654, 420, 220, 228 i.e 2.

3. How can I use the GCD of 654, 420, 220, 228Calculator?

Out the numbers 654, 420, 220, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.