GCD of 228, 616, 840, 749 Calculator

Given Input numbers are 228, 616, 840, 749

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (228, 616, 840, 749) = 1.

Given numbers are 228, 616, 840, 749

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 749 are 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 228, 616, 840, 749

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

Apply this formula for all numbers.

Step1:

LCM(228, 616) = 35112

GCD(228, 616) = ( 228 x 616 ) / 35112

= 228 / 616

= 228

Step2:

LCM(4, 840) = 840

GCD(4, 840) = ( 4 x 840 ) / 840

= 4 / 840

= 4

Step3:

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

= 4 / 749

= 4

So, Greatest Common Divisor of 228, 616, 840, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 272, 276, 772
• GCD of 294, 571, 543, 343
• GCD of 488, 399, 965, 526
• GCD of 758, 413, 314, 169
• GCD of 496, 247, 633, 677

Given numbers are 228, 616, 840, 749
The greatest common divisor of numbers 228, 616, 840, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 616, 840, 749 is 1.

1. What is the GCD of 228, 616, 840, 749?

GCD of given numbers 228, 616, 840, 749 is 1

2. How to calculate the greatest common divisor of 228, 616, 840, 749?

We can find the highest common divisor of 228, 616, 840, 749 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, 616, 840, 749 i.e 1.

3. How can I use the GCD of 228, 616, 840, 749Calculator?

Out the numbers 228, 616, 840, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.