GCD of 120, 351, 826, 329 Calculator

Given Input numbers are 120, 351, 826, 329

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

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

GCD of numbers is the greatest common divisor

So, the GCD (120, 351, 826, 329) = 1.

Given numbers are 120, 351, 826, 329

The list of prime factors of all numbers are

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

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 826 are 2 x 7 x 59

Prime factors of 329 are 7 x 47

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

Given numbers are 120, 351, 826, 329

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

Apply this formula for all numbers.

Step1:

LCM(120, 351) = 14040

GCD(120, 351) = ( 120 x 351 ) / 14040

= 120 / 351

= 120

Step2:

LCM(3, 826) = 2478

GCD(3, 826) = ( 3 x 826 ) / 2478

= 3 / 826

= 3

Step3:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

So, Greatest Common Divisor of 120, 351, 826, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 256, 562, 208
• GCD of 959, 656, 228, 530
• GCD of 470, 593, 513, 460
• GCD of 488, 311, 161, 368
• GCD of 829, 761, 473, 682

Given numbers are 120, 351, 826, 329
The greatest common divisor of numbers 120, 351, 826, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 351, 826, 329 is 1.

1. What is the GCD of 120, 351, 826, 329?

GCD of given numbers 120, 351, 826, 329 is 1

2. How to calculate the greatest common divisor of 120, 351, 826, 329?

We can find the highest common divisor of 120, 351, 826, 329 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 120, 351, 826, 329 i.e 1.

3. How can I use the GCD of 120, 351, 826, 329Calculator?

Out the numbers 120, 351, 826, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.