GCD of 120, 350, 278, 323 Calculator

Given Input numbers are 120, 350, 278, 323

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (120, 350, 278, 323) = 1.

Given numbers are 120, 350, 278, 323

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 350 are 2 x 5 x 5 x 7

Prime factors of 278 are 2 x 139

Prime factors of 323 are 17 x 19

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

Given numbers are 120, 350, 278, 323

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

Apply this formula for all numbers.

Step1:

LCM(120, 350) = 4200

GCD(120, 350) = ( 120 x 350 ) / 4200

= 120 / 350

= 120

Step2:

LCM(10, 278) = 1390

GCD(10, 278) = ( 10 x 278 ) / 1390

= 10 / 278

= 10

Step3:

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

= 2 / 323

= 2

So, Greatest Common Divisor of 120, 350, 278, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 174, 331, 903
• GCD of 185, 306, 735, 193
• GCD of 944, 422, 656, 496
• GCD of 196, 742, 287, 236
• GCD of 185, 294, 468, 786

Given numbers are 120, 350, 278, 323
The greatest common divisor of numbers 120, 350, 278, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 350, 278, 323 is 1.

1. What is the GCD of 120, 350, 278, 323?

GCD of given numbers 120, 350, 278, 323 is 1

2. How to calculate the greatest common divisor of 120, 350, 278, 323?

We can find the highest common divisor of 120, 350, 278, 323 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, 350, 278, 323 i.e 1.

3. How can I use the GCD of 120, 350, 278, 323Calculator?

Out the numbers 120, 350, 278, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.