GCD of 228, 762, 772, 624 Calculator

Given Input numbers are 228, 762, 772, 624

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

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (228, 762, 772, 624) = 2.

Given numbers are 228, 762, 772, 624

The list of prime factors of all numbers are

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

Prime factors of 762 are 2 x 3 x 127

Prime factors of 772 are 2 x 2 x 193

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 228, 762, 772, 624 is 2.

Given numbers are 228, 762, 772, 624

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

Apply this formula for all numbers.

Step1:

LCM(228, 762) = 28956

GCD(228, 762) = ( 228 x 762 ) / 28956

= 228 / 762

= 228

Step2:

LCM(6, 772) = 2316

GCD(6, 772) = ( 6 x 772 ) / 2316

= 6 / 772

= 6

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 228, 762, 772, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 252, 842, 333
• GCD of 217, 944, 586, 475
• GCD of 661, 407, 417, 559
• GCD of 918, 534, 619, 796
• GCD of 505, 416, 267, 669

Given numbers are 228, 762, 772, 624
The greatest common divisor of numbers 228, 762, 772, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 762, 772, 624 is 2.

1. What is the GCD of 228, 762, 772, 624?

GCD of given numbers 228, 762, 772, 624 is 2

2. How to calculate the greatest common divisor of 228, 762, 772, 624?

We can find the highest common divisor of 228, 762, 772, 624 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 228, 762, 772, 624 i.e 2.

3. How can I use the GCD of 228, 762, 772, 624Calculator?

Out the numbers 228, 762, 772, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.