GCD of 348, 669, 123, 363 Calculator

Given Input numbers are 348, 669, 123, 363

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (348, 669, 123, 363) = 3.

Given numbers are 348, 669, 123, 363

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 669 are 3 x 223

Prime factors of 123 are 3 x 41

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 348, 669, 123, 363 is 3.

Given numbers are 348, 669, 123, 363

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

Apply this formula for all numbers.

Step1:

LCM(348, 669) = 77604

GCD(348, 669) = ( 348 x 669 ) / 77604

= 348 / 669

= 348

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

Step3:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

So, Greatest Common Divisor of 348, 669, 123, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 601, 880, 126
• GCD of 746, 192, 544, 586
• GCD of 428, 621, 747, 269
• GCD of 595, 443, 630, 719
• GCD of 493, 937, 228, 361

Given numbers are 348, 669, 123, 363
The greatest common divisor of numbers 348, 669, 123, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 669, 123, 363 is 3.

1. What is the GCD of 348, 669, 123, 363?

GCD of given numbers 348, 669, 123, 363 is 3

2. How to calculate the greatest common divisor of 348, 669, 123, 363?

We can find the highest common divisor of 348, 669, 123, 363 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 348, 669, 123, 363 i.e 3.

3. How can I use the GCD of 348, 669, 123, 363Calculator?

Out the numbers 348, 669, 123, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.