GCD of 348, 996, 114, 402 Calculator

Given Input numbers are 348, 996, 114, 402

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 402 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 996, 114, 402) = 6.

Given numbers are 348, 996, 114, 402

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 114 are 2 x 3 x 19

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 348, 996, 114, 402 is 6.

Given numbers are 348, 996, 114, 402

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

Apply this formula for all numbers.

Step1:

LCM(348, 996) = 28884

GCD(348, 996) = ( 348 x 996 ) / 28884

= 348 / 996

= 348

Step2:

LCM(12, 114) = 228

GCD(12, 114) = ( 12 x 114 ) / 228

= 12 / 114

= 12

Step3:

LCM(6, 402) = 402

GCD(6, 402) = ( 6 x 402 ) / 402

= 6 / 402

= 6

So, Greatest Common Divisor of 348, 996, 114, 402 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 167, 951, 336
• GCD of 405, 709, 776, 955
• GCD of 337, 498, 623, 744
• GCD of 598, 421, 299, 952
• GCD of 935, 784, 720, 179

Given numbers are 348, 996, 114, 402
The greatest common divisor of numbers 348, 996, 114, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 996, 114, 402 is 6.

1. What is the GCD of 348, 996, 114, 402?

GCD of given numbers 348, 996, 114, 402 is 6

2. How to calculate the greatest common divisor of 348, 996, 114, 402?

We can find the highest common divisor of 348, 996, 114, 402 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 348, 996, 114, 402 i.e 6.

3. How can I use the GCD of 348, 996, 114, 402Calculator?

Out the numbers 348, 996, 114, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.