GCD of 228, 296, 452, 702 Calculator

Given Input numbers are 228, 296, 452, 702

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (228, 296, 452, 702) = 2.

Given numbers are 228, 296, 452, 702

The list of prime factors of all numbers are

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

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 452 are 2 x 2 x 113

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 228, 296, 452, 702 is 2.

Given numbers are 228, 296, 452, 702

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

Apply this formula for all numbers.

Step1:

LCM(228, 296) = 16872

GCD(228, 296) = ( 228 x 296 ) / 16872

= 228 / 296

= 228

Step2:

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

= 4 / 452

= 4

Step3:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

So, Greatest Common Divisor of 228, 296, 452, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 188, 422, 297
• GCD of 172, 280, 164, 758
• GCD of 148, 955, 343, 102
• GCD of 970, 752, 395, 542
• GCD of 817, 415, 753, 137

Given numbers are 228, 296, 452, 702
The greatest common divisor of numbers 228, 296, 452, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 296, 452, 702 is 2.

1. What is the GCD of 228, 296, 452, 702?

GCD of given numbers 228, 296, 452, 702 is 2

2. How to calculate the greatest common divisor of 228, 296, 452, 702?

We can find the highest common divisor of 228, 296, 452, 702 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, 296, 452, 702 i.e 2.

3. How can I use the GCD of 228, 296, 452, 702Calculator?

Out the numbers 228, 296, 452, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.