GCD of 362, 414, 829, 402 Calculator

Given Input numbers are 362, 414, 829, 402

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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 (362, 414, 829, 402) = 1.

Given numbers are 362, 414, 829, 402

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 829 are 829

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 362, 414, 829, 402

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

Apply this formula for all numbers.

Step1:

LCM(362, 414) = 74934

GCD(362, 414) = ( 362 x 414 ) / 74934

= 362 / 414

= 362

Step2:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 362, 414, 829, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 944, 710, 155
• GCD of 662, 380, 498, 694
• GCD of 414, 471, 728, 298
• GCD of 990, 957, 619, 178
• GCD of 798, 203, 601, 245

Given numbers are 362, 414, 829, 402
The greatest common divisor of numbers 362, 414, 829, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 414, 829, 402 is 1.

1. What is the GCD of 362, 414, 829, 402?

GCD of given numbers 362, 414, 829, 402 is 1

2. How to calculate the greatest common divisor of 362, 414, 829, 402?

We can find the highest common divisor of 362, 414, 829, 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 362, 414, 829, 402 i.e 1.

3. How can I use the GCD of 362, 414, 829, 402Calculator?

Out the numbers 362, 414, 829, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.