GCD of 402, 460, 118, 228 Calculator

Given Input numbers are 402, 460, 118, 228

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 (402, 460, 118, 228) = 2.

Given numbers are 402, 460, 118, 228

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 118 are 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 402, 460, 118, 228 is 2.

Given numbers are 402, 460, 118, 228

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

Apply this formula for all numbers.

Step1:

LCM(402, 460) = 92460

GCD(402, 460) = ( 402 x 460 ) / 92460

= 402 / 460

= 402

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 228) = 228

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

= 2 / 228

= 2

So, Greatest Common Divisor of 402, 460, 118, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 450, 580, 719
• GCD of 979, 228, 832, 378
• GCD of 800, 987, 363, 814
• GCD of 430, 693, 264, 656
• GCD of 517, 631, 898, 172

Given numbers are 402, 460, 118, 228
The greatest common divisor of numbers 402, 460, 118, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 460, 118, 228 is 2.

1. What is the GCD of 402, 460, 118, 228?

GCD of given numbers 402, 460, 118, 228 is 2

2. How to calculate the greatest common divisor of 402, 460, 118, 228?

We can find the highest common divisor of 402, 460, 118, 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 402, 460, 118, 228 i.e 2.

3. How can I use the GCD of 402, 460, 118, 228Calculator?

Out the numbers 402, 460, 118, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.