GCD of 354, 318, 474, 716 Calculator

Given Input numbers are 354, 318, 474, 716

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

Divisors of 354 :

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

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 474 :

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

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (354, 318, 474, 716) = 2.

Given numbers are 354, 318, 474, 716

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 318 are 2 x 3 x 53

Prime factors of 474 are 2 x 3 x 79

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 354, 318, 474, 716 is 2.

Given numbers are 354, 318, 474, 716

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

Apply this formula for all numbers.

Step1:

LCM(354, 318) = 18762

GCD(354, 318) = ( 354 x 318 ) / 18762

= 354 / 318

= 354

Step2:

LCM(6, 474) = 474

GCD(6, 474) = ( 6 x 474 ) / 474

= 6 / 474

= 6

Step3:

LCM(6, 716) = 2148

GCD(6, 716) = ( 6 x 716 ) / 2148

= 6 / 716

= 6

So, Greatest Common Divisor of 354, 318, 474, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 961, 845, 548
• GCD of 623, 117, 741, 772
• GCD of 380, 189, 935, 349
• GCD of 470, 710, 161, 885
• GCD of 153, 792, 506, 642

Given numbers are 354, 318, 474, 716
The greatest common divisor of numbers 354, 318, 474, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 318, 474, 716 is 2.

1. What is the GCD of 354, 318, 474, 716?

GCD of given numbers 354, 318, 474, 716 is 2

2. How to calculate the greatest common divisor of 354, 318, 474, 716?

We can find the highest common divisor of 354, 318, 474, 716 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 354, 318, 474, 716 i.e 2.

3. How can I use the GCD of 354, 318, 474, 716Calculator?

Out the numbers 354, 318, 474, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.