GCD of 318, 448, 900, 119 Calculator

Given Input numbers are 318, 448, 900, 119

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (318, 448, 900, 119) = 1.

Given numbers are 318, 448, 900, 119

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 119 are 7 x 17

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

Given numbers are 318, 448, 900, 119

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

Apply this formula for all numbers.

Step1:

LCM(318, 448) = 71232

GCD(318, 448) = ( 318 x 448 ) / 71232

= 318 / 448

= 318

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

= 2 / 119

= 2

So, Greatest Common Divisor of 318, 448, 900, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 140, 607, 891
• GCD of 577, 634, 630, 109
• GCD of 527, 842, 724, 171
• GCD of 169, 381, 421, 711
• GCD of 710, 326, 492, 348

Given numbers are 318, 448, 900, 119
The greatest common divisor of numbers 318, 448, 900, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 448, 900, 119 is 1.

1. What is the GCD of 318, 448, 900, 119?

GCD of given numbers 318, 448, 900, 119 is 1

2. How to calculate the greatest common divisor of 318, 448, 900, 119?

We can find the highest common divisor of 318, 448, 900, 119 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 318, 448, 900, 119 i.e 1.

3. How can I use the GCD of 318, 448, 900, 119Calculator?

Out the numbers 318, 448, 900, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.