GCD of 478, 868, 998 Calculator

Given Input numbers are 478, 868, 998

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 (478, 868, 998) = 2.

Given numbers are 478, 868, 998

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 478, 868, 998 is 2.

Given numbers are 478, 868, 998

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

Apply this formula for all numbers.

Step1:

LCM(478, 868) = 207452

GCD(478, 868) = ( 478 x 868 ) / 207452

= 478 / 868

= 478

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 478, 868, 998 is 2

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Given numbers are 478, 868, 998
The greatest common divisor of numbers 478, 868, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 868, 998 is 2.

1. What is the GCD of 478, 868, 998?

GCD of given numbers 478, 868, 998 is 2

2. How to calculate the greatest common divisor of 478, 868, 998?

We can find the highest common divisor of 478, 868, 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 478, 868, 998 i.e 2.

3. How can I use the GCD of 478, 868, 998Calculator?

Out the numbers 478, 868, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.