GCD of 123, 310, 901, 120 Calculator

Given Input numbers are 123, 310, 901, 120

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (123, 310, 901, 120) = 1.

Given numbers are 123, 310, 901, 120

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 310 are 2 x 5 x 31

Prime factors of 901 are 17 x 53

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 123, 310, 901, 120

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

Apply this formula for all numbers.

Step1:

LCM(123, 310) = 38130

GCD(123, 310) = ( 123 x 310 ) / 38130

= 123 / 310

= 123

Step2:

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

= 1 / 901

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 123, 310, 901, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 806, 381, 506
• GCD of 965, 240, 696, 553
• GCD of 776, 682, 785, 673
• GCD of 941, 886, 632, 846
• GCD of 531, 830, 328, 647

Given numbers are 123, 310, 901, 120
The greatest common divisor of numbers 123, 310, 901, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 310, 901, 120 is 1.

1. What is the GCD of 123, 310, 901, 120?

GCD of given numbers 123, 310, 901, 120 is 1

2. How to calculate the greatest common divisor of 123, 310, 901, 120?

We can find the highest common divisor of 123, 310, 901, 120 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 123, 310, 901, 120 i.e 1.

3. How can I use the GCD of 123, 310, 901, 120Calculator?

Out the numbers 123, 310, 901, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.