GCD of 460, 225, 348, 998 Calculator

Given Input numbers are 460, 225, 348, 998

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (460, 225, 348, 998) = 1.

Given numbers are 460, 225, 348, 998

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 225 are 3 x 3 x 5 x 5

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

Prime factors of 998 are 2 x 499

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

Given numbers are 460, 225, 348, 998

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

Apply this formula for all numbers.

Step1:

LCM(460, 225) = 20700

GCD(460, 225) = ( 460 x 225 ) / 20700

= 460 / 225

= 460

Step2:

LCM(5, 348) = 1740

GCD(5, 348) = ( 5 x 348 ) / 1740

= 5 / 348

= 5

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 460, 225, 348, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 892, 176, 607
• GCD of 970, 917, 251, 911
• GCD of 461, 920, 131, 725
• GCD of 948, 690, 334, 681
• GCD of 226, 864, 577, 571

Given numbers are 460, 225, 348, 998
The greatest common divisor of numbers 460, 225, 348, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 225, 348, 998 is 1.

1. What is the GCD of 460, 225, 348, 998?

GCD of given numbers 460, 225, 348, 998 is 1

2. How to calculate the greatest common divisor of 460, 225, 348, 998?

We can find the highest common divisor of 460, 225, 348, 998 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 460, 225, 348, 998 i.e 1.

3. How can I use the GCD of 460, 225, 348, 998Calculator?

Out the numbers 460, 225, 348, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.