GCD of 345, 639, 303, 688 Calculator

Given Input numbers are 345, 639, 303, 688

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (345, 639, 303, 688) = 1.

Given numbers are 345, 639, 303, 688

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 639 are 3 x 3 x 71

Prime factors of 303 are 3 x 101

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 345, 639, 303, 688

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

Apply this formula for all numbers.

Step1:

LCM(345, 639) = 73485

GCD(345, 639) = ( 345 x 639 ) / 73485

= 345 / 639

= 345

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

So, Greatest Common Divisor of 345, 639, 303, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 639, 575, 738
• GCD of 174, 575, 659, 233
• GCD of 338, 975, 527, 743
• GCD of 346, 346, 185, 908
• GCD of 420, 434, 444, 912

Given numbers are 345, 639, 303, 688
The greatest common divisor of numbers 345, 639, 303, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 639, 303, 688 is 1.

1. What is the GCD of 345, 639, 303, 688?

GCD of given numbers 345, 639, 303, 688 is 1

2. How to calculate the greatest common divisor of 345, 639, 303, 688?

We can find the highest common divisor of 345, 639, 303, 688 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 345, 639, 303, 688 i.e 1.

3. How can I use the GCD of 345, 639, 303, 688Calculator?

Out the numbers 345, 639, 303, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.