GCD of 348, 123, 420, 679 Calculator

Given Input numbers are 348, 123, 420, 679

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 123 :

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

1, 3, 41, 123

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (348, 123, 420, 679) = 1.

Given numbers are 348, 123, 420, 679

The list of prime factors of all numbers are

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

Prime factors of 123 are 3 x 41

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 679 are 7 x 97

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

Given numbers are 348, 123, 420, 679

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

Apply this formula for all numbers.

Step1:

LCM(348, 123) = 14268

GCD(348, 123) = ( 348 x 123 ) / 14268

= 348 / 123

= 348

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

= 3 / 679

= 3

So, Greatest Common Divisor of 348, 123, 420, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 376, 383, 984
• GCD of 347, 368, 367, 791
• GCD of 946, 717, 470, 750
• GCD of 933, 123, 365, 290
• GCD of 439, 573, 797, 625

Given numbers are 348, 123, 420, 679
The greatest common divisor of numbers 348, 123, 420, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 123, 420, 679 is 1.

1. What is the GCD of 348, 123, 420, 679?

GCD of given numbers 348, 123, 420, 679 is 1

2. How to calculate the greatest common divisor of 348, 123, 420, 679?

We can find the highest common divisor of 348, 123, 420, 679 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, 123, 420, 679 i.e 1.

3. How can I use the GCD of 348, 123, 420, 679Calculator?

Out the numbers 348, 123, 420, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.