GCD of 298, 165, 448, 997 Calculator

Given Input numbers are 298, 165, 448, 997

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (298, 165, 448, 997) = 1.

Given numbers are 298, 165, 448, 997

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 997 are 997

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

Given numbers are 298, 165, 448, 997

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

Apply this formula for all numbers.

Step1:

LCM(298, 165) = 49170

GCD(298, 165) = ( 298 x 165 ) / 49170

= 298 / 165

= 298

Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 298, 165, 448, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 340, 143, 499
• GCD of 314, 240, 233, 395
• GCD of 576, 749, 684, 749
• GCD of 654, 861, 820, 345
• GCD of 892, 547, 995, 404

Given numbers are 298, 165, 448, 997
The greatest common divisor of numbers 298, 165, 448, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 165, 448, 997 is 1.

1. What is the GCD of 298, 165, 448, 997?

GCD of given numbers 298, 165, 448, 997 is 1

2. How to calculate the greatest common divisor of 298, 165, 448, 997?

We can find the highest common divisor of 298, 165, 448, 997 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 298, 165, 448, 997 i.e 1.

3. How can I use the GCD of 298, 165, 448, 997Calculator?

Out the numbers 298, 165, 448, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.