GCD of 998, 476, 892, 172 Calculator

Given Input numbers are 998, 476, 892, 172

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (998, 476, 892, 172) = 2.

Given numbers are 998, 476, 892, 172

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 892 are 2 x 2 x 223

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 998, 476, 892, 172 is 2.

Given numbers are 998, 476, 892, 172

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

Apply this formula for all numbers.

Step1:

LCM(998, 476) = 237524

GCD(998, 476) = ( 998 x 476 ) / 237524

= 998 / 476

= 998

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 998, 476, 892, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 815, 124, 298
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• GCD of 898, 486, 487, 551

Given numbers are 998, 476, 892, 172
The greatest common divisor of numbers 998, 476, 892, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 476, 892, 172 is 2.

1. What is the GCD of 998, 476, 892, 172?

GCD of given numbers 998, 476, 892, 172 is 2

2. How to calculate the greatest common divisor of 998, 476, 892, 172?

We can find the highest common divisor of 998, 476, 892, 172 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, 476, 892, 172 i.e 2.

3. How can I use the GCD of 998, 476, 892, 172Calculator?

Out the numbers 998, 476, 892, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.