GCD of 708, 144, 45, 351 Calculator

Given Input numbers are 708, 144, 45, 351

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 351 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (708, 144, 45, 351) = 3.

Given numbers are 708, 144, 45, 351

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 45 are 3 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 708, 144, 45, 351 is 3.

Given numbers are 708, 144, 45, 351

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

Apply this formula for all numbers.

Step1:

LCM(708, 144) = 8496

GCD(708, 144) = ( 708 x 144 ) / 8496

= 708 / 144

= 708

Step2:

LCM(12, 45) = 180

GCD(12, 45) = ( 12 x 45 ) / 180

= 12 / 45

= 12

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 708, 144, 45, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 585, 71, 234
• GCD of 590, 812, 39, 451
• GCD of 294, 701, 74, 526
• GCD of 415, 316, 15, 587
• GCD of 231, 807, 97, 245

Given numbers are 708, 144, 45, 351
The greatest common divisor of numbers 708, 144, 45, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 144, 45, 351 is 3.

1. What is the GCD of 708, 144, 45, 351?

GCD of given numbers 708, 144, 45, 351 is 3

2. How to calculate the greatest common divisor of 708, 144, 45, 351?

We can find the highest common divisor of 708, 144, 45, 351 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 708, 144, 45, 351 i.e 3.

3. How can I use the GCD of 708, 144, 45, 351Calculator?

Out the numbers 708, 144, 45, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.