GCD of 674, 306, 480, 342 Calculator

Given Input numbers are 674, 306, 480, 342

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (674, 306, 480, 342) = 2.

Given numbers are 674, 306, 480, 342

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 674, 306, 480, 342 is 2.

Given numbers are 674, 306, 480, 342

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

Apply this formula for all numbers.

Step1:

LCM(674, 306) = 103122

GCD(674, 306) = ( 674 x 306 ) / 103122

= 674 / 306

= 674

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 674, 306, 480, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 451, 318, 483
• GCD of 991, 268, 110, 811
• GCD of 357, 332, 764, 122
• GCD of 468, 804, 480, 711
• GCD of 140, 168, 163, 476

Given numbers are 674, 306, 480, 342
The greatest common divisor of numbers 674, 306, 480, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 306, 480, 342 is 2.

1. What is the GCD of 674, 306, 480, 342?

GCD of given numbers 674, 306, 480, 342 is 2

2. How to calculate the greatest common divisor of 674, 306, 480, 342?

We can find the highest common divisor of 674, 306, 480, 342 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 674, 306, 480, 342 i.e 2.

3. How can I use the GCD of 674, 306, 480, 342Calculator?

Out the numbers 674, 306, 480, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.