GCD of 135, 842, 375, 314 Calculator

Given Input numbers are 135, 842, 375, 314

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (135, 842, 375, 314) = 1.

Given numbers are 135, 842, 375, 314

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 842 are 2 x 421

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 314 are 2 x 157

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

Given numbers are 135, 842, 375, 314

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

Apply this formula for all numbers.

Step1:

LCM(135, 842) = 113670

GCD(135, 842) = ( 135 x 842 ) / 113670

= 135 / 842

= 135

Step2:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 135, 842, 375, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 269, 790, 144
• GCD of 444, 646, 132, 444
• GCD of 672, 540, 199, 919
• GCD of 694, 234, 538, 123
• GCD of 299, 598, 512, 809

Given numbers are 135, 842, 375, 314
The greatest common divisor of numbers 135, 842, 375, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 842, 375, 314 is 1.

1. What is the GCD of 135, 842, 375, 314?

GCD of given numbers 135, 842, 375, 314 is 1

2. How to calculate the greatest common divisor of 135, 842, 375, 314?

We can find the highest common divisor of 135, 842, 375, 314 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 135, 842, 375, 314 i.e 1.

3. How can I use the GCD of 135, 842, 375, 314Calculator?

Out the numbers 135, 842, 375, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.