GCD of 235, 360, 642, 402 Calculator

Given Input numbers are 235, 360, 642, 402

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 (235, 360, 642, 402) = 1.

Given numbers are 235, 360, 642, 402

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 642 are 2 x 3 x 107

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 235, 360, 642, 402

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

Apply this formula for all numbers.

Step1:

LCM(235, 360) = 16920

GCD(235, 360) = ( 235 x 360 ) / 16920

= 235 / 360

= 235

Step2:

LCM(5, 642) = 3210

GCD(5, 642) = ( 5 x 642 ) / 3210

= 5 / 642

= 5

Step3:

LCM(1, 402) = 402

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

= 1 / 402

= 1

So, Greatest Common Divisor of 235, 360, 642, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 762, 657, 676
• GCD of 404, 678, 927, 414
• GCD of 440, 642, 735, 854
• GCD of 219, 799, 845, 538
• GCD of 516, 380, 232, 365

Given numbers are 235, 360, 642, 402
The greatest common divisor of numbers 235, 360, 642, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 360, 642, 402 is 1.

1. What is the GCD of 235, 360, 642, 402?

GCD of given numbers 235, 360, 642, 402 is 1

2. How to calculate the greatest common divisor of 235, 360, 642, 402?

We can find the highest common divisor of 235, 360, 642, 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 235, 360, 642, 402 i.e 1.

3. How can I use the GCD of 235, 360, 642, 402Calculator?

Out the numbers 235, 360, 642, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.