GCD of 402, 252, 294, 234 Calculator

Given Input numbers are 402, 252, 294, 234

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (402, 252, 294, 234) = 6.

Given numbers are 402, 252, 294, 234

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 402, 252, 294, 234 is 6.

Given numbers are 402, 252, 294, 234

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

Apply this formula for all numbers.

Step1:

LCM(402, 252) = 16884

GCD(402, 252) = ( 402 x 252 ) / 16884

= 402 / 252

= 402

Step2:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6

Step3:

LCM(6, 234) = 234

GCD(6, 234) = ( 6 x 234 ) / 234

= 6 / 234

= 6

So, Greatest Common Divisor of 402, 252, 294, 234 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 353, 506, 850
• GCD of 663, 379, 827, 703
• GCD of 458, 695, 184, 546
• GCD of 122, 585, 638, 500
• GCD of 521, 774, 941, 418

Given numbers are 402, 252, 294, 234
The greatest common divisor of numbers 402, 252, 294, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 252, 294, 234 is 6.

1. What is the GCD of 402, 252, 294, 234?

GCD of given numbers 402, 252, 294, 234 is 6

2. How to calculate the greatest common divisor of 402, 252, 294, 234?

We can find the highest common divisor of 402, 252, 294, 234 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, 252, 294, 234 i.e 6.

3. How can I use the GCD of 402, 252, 294, 234Calculator?

Out the numbers 402, 252, 294, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.