GCD of 484, 350, 280, 228 Calculator

Given Input numbers are 484, 350, 280, 228

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 (484, 350, 280, 228) = 2.

Given numbers are 484, 350, 280, 228

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 484, 350, 280, 228 is 2.

Given numbers are 484, 350, 280, 228

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

Apply this formula for all numbers.

Step1:

LCM(484, 350) = 84700

GCD(484, 350) = ( 484 x 350 ) / 84700

= 484 / 350

= 484

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 228) = 228

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

= 2 / 228

= 2

So, Greatest Common Divisor of 484, 350, 280, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 534, 697, 507
• GCD of 129, 870, 456, 185
• GCD of 769, 662, 799, 707
• GCD of 778, 717, 249, 195
• GCD of 448, 956, 536, 557

Given numbers are 484, 350, 280, 228
The greatest common divisor of numbers 484, 350, 280, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 350, 280, 228 is 2.

1. What is the GCD of 484, 350, 280, 228?

GCD of given numbers 484, 350, 280, 228 is 2

2. How to calculate the greatest common divisor of 484, 350, 280, 228?

We can find the highest common divisor of 484, 350, 280, 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 484, 350, 280, 228 i.e 2.

3. How can I use the GCD of 484, 350, 280, 228Calculator?

Out the numbers 484, 350, 280, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.