GCD of 314, 354, 146, 368 Calculator

Given Input numbers are 314, 354, 146, 368

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (314, 354, 146, 368) = 2.

Given numbers are 314, 354, 146, 368

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 354 are 2 x 3 x 59

Prime factors of 146 are 2 x 73

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 314, 354, 146, 368 is 2.

Given numbers are 314, 354, 146, 368

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

Apply this formula for all numbers.

Step1:

LCM(314, 354) = 55578

GCD(314, 354) = ( 314 x 354 ) / 55578

= 314 / 354

= 314

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

Step3:

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

= 2 / 368

= 2

So, Greatest Common Divisor of 314, 354, 146, 368 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 385, 362, 863
• GCD of 202, 406, 929, 173
• GCD of 339, 596, 859, 509
• GCD of 617, 242, 942, 300
• GCD of 818, 402, 330, 841

Given numbers are 314, 354, 146, 368
The greatest common divisor of numbers 314, 354, 146, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 354, 146, 368 is 2.

1. What is the GCD of 314, 354, 146, 368?

GCD of given numbers 314, 354, 146, 368 is 2

2. How to calculate the greatest common divisor of 314, 354, 146, 368?

We can find the highest common divisor of 314, 354, 146, 368 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 314, 354, 146, 368 i.e 2.

3. How can I use the GCD of 314, 354, 146, 368Calculator?

Out the numbers 314, 354, 146, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.