GCD of 235, 434, 135, 314 Calculator

Given Input numbers are 235, 434, 135, 314

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 135 :

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

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

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 (235, 434, 135, 314) = 1.

Given numbers are 235, 434, 135, 314

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

Prime factors of 434 are 2 x 7 x 31

Prime factors of 135 are 3 x 3 x 3 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 235, 434, 135, 314

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

Apply this formula for all numbers.

Step1:

LCM(235, 434) = 101990

GCD(235, 434) = ( 235 x 434 ) / 101990

= 235 / 434

= 235

Step2:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

Step3:

LCM(1, 314) = 314

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

= 1 / 314

= 1

So, Greatest Common Divisor of 235, 434, 135, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 243, 358, 970
• GCD of 778, 878, 381, 513
• GCD of 396, 392, 270, 424
• GCD of 112, 788, 840, 415
• GCD of 424, 969, 500, 411

Given numbers are 235, 434, 135, 314
The greatest common divisor of numbers 235, 434, 135, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 434, 135, 314 is 1.

1. What is the GCD of 235, 434, 135, 314?

GCD of given numbers 235, 434, 135, 314 is 1

2. How to calculate the greatest common divisor of 235, 434, 135, 314?

We can find the highest common divisor of 235, 434, 135, 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 235, 434, 135, 314 i.e 1.

3. How can I use the GCD of 235, 434, 135, 314Calculator?

Out the numbers 235, 434, 135, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.