GCD of 480, 630, 978, 228 Calculator

Given Input numbers are 480, 630, 978, 228

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 (480, 630, 978, 228) = 6.

Given numbers are 480, 630, 978, 228

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 978 are 2 x 3 x 163

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 480, 630, 978, 228 is 6.

Given numbers are 480, 630, 978, 228

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

Apply this formula for all numbers.

Step1:

LCM(480, 630) = 10080

GCD(480, 630) = ( 480 x 630 ) / 10080

= 480 / 630

= 480

Step2:

LCM(30, 978) = 4890

GCD(30, 978) = ( 30 x 978 ) / 4890

= 30 / 978

= 30

Step3:

LCM(6, 228) = 228

GCD(6, 228) = ( 6 x 228 ) / 228

= 6 / 228

= 6

So, Greatest Common Divisor of 480, 630, 978, 228 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 654, 443, 140
• GCD of 954, 883, 588, 227
• GCD of 883, 331, 581, 415
• GCD of 474, 310, 835, 209
• GCD of 952, 834, 584, 228

Given numbers are 480, 630, 978, 228
The greatest common divisor of numbers 480, 630, 978, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 630, 978, 228 is 6.

1. What is the GCD of 480, 630, 978, 228?

GCD of given numbers 480, 630, 978, 228 is 6

2. How to calculate the greatest common divisor of 480, 630, 978, 228?

We can find the highest common divisor of 480, 630, 978, 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 480, 630, 978, 228 i.e 6.

3. How can I use the GCD of 480, 630, 978, 228Calculator?

Out the numbers 480, 630, 978, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.