GCD of 434, 120, 474, 367 Calculator

Given Input numbers are 434, 120, 474, 367

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

Divisors of 434 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (434, 120, 474, 367) = 1.

Given numbers are 434, 120, 474, 367

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 474 are 2 x 3 x 79

Prime factors of 367 are 367

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

Given numbers are 434, 120, 474, 367

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

Apply this formula for all numbers.

Step1:

LCM(434, 120) = 26040

GCD(434, 120) = ( 434 x 120 ) / 26040

= 434 / 120

= 434

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

= 2 / 367

= 2

So, Greatest Common Divisor of 434, 120, 474, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 107, 149, 864
• GCD of 526, 109, 689, 265
• GCD of 631, 920, 108, 665
• GCD of 698, 626, 244, 672
• GCD of 510, 551, 675, 758

Given numbers are 434, 120, 474, 367
The greatest common divisor of numbers 434, 120, 474, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 120, 474, 367 is 1.

1. What is the GCD of 434, 120, 474, 367?

GCD of given numbers 434, 120, 474, 367 is 1

2. How to calculate the greatest common divisor of 434, 120, 474, 367?

We can find the highest common divisor of 434, 120, 474, 367 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 434, 120, 474, 367 i.e 1.

3. How can I use the GCD of 434, 120, 474, 367Calculator?

Out the numbers 434, 120, 474, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.