GCD of 998, 348, 721, 464 Calculator

Given Input numbers are 998, 348, 721, 464

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

Divisors of 998 :

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

1, 2, 499, 998

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (998, 348, 721, 464) = 1.

Given numbers are 998, 348, 721, 464

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

Prime factors of 721 are 7 x 103

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Given numbers are 998, 348, 721, 464

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

Apply this formula for all numbers.

Step1:

LCM(998, 348) = 173652

GCD(998, 348) = ( 998 x 348 ) / 173652

= 998 / 348

= 998

Step2:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

Step3:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

So, Greatest Common Divisor of 998, 348, 721, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 726, 699, 889
• GCD of 448, 162, 191, 284
• GCD of 933, 703, 498, 684
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• GCD of 369, 599, 544, 161

Given numbers are 998, 348, 721, 464
The greatest common divisor of numbers 998, 348, 721, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 348, 721, 464 is 1.

1. What is the GCD of 998, 348, 721, 464?

GCD of given numbers 998, 348, 721, 464 is 1

2. How to calculate the greatest common divisor of 998, 348, 721, 464?

We can find the highest common divisor of 998, 348, 721, 464 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 998, 348, 721, 464 i.e 1.

3. How can I use the GCD of 998, 348, 721, 464Calculator?

Out the numbers 998, 348, 721, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.