GCD of 315, 448, 998, 268 Calculator

Given Input numbers are 315, 448, 998, 268

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (315, 448, 998, 268) = 1.

Given numbers are 315, 448, 998, 268

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

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

Prime factors of 998 are 2 x 499

Prime factors of 268 are 2 x 2 x 67

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

Given numbers are 315, 448, 998, 268

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

Apply this formula for all numbers.

Step1:

LCM(315, 448) = 20160

GCD(315, 448) = ( 315 x 448 ) / 20160

= 315 / 448

= 315

Step2:

LCM(7, 998) = 6986

GCD(7, 998) = ( 7 x 998 ) / 6986

= 7 / 998

= 7

Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1

So, Greatest Common Divisor of 315, 448, 998, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 823, 419, 902
• GCD of 582, 459, 712, 593
• GCD of 230, 150, 159, 416
• GCD of 644, 139, 319, 923
• GCD of 905, 839, 442, 377

Given numbers are 315, 448, 998, 268
The greatest common divisor of numbers 315, 448, 998, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 448, 998, 268 is 1.

1. What is the GCD of 315, 448, 998, 268?

GCD of given numbers 315, 448, 998, 268 is 1

2. How to calculate the greatest common divisor of 315, 448, 998, 268?

We can find the highest common divisor of 315, 448, 998, 268 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 315, 448, 998, 268 i.e 1.

3. How can I use the GCD of 315, 448, 998, 268Calculator?

Out the numbers 315, 448, 998, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.