GCD of 998, 250, 684, 160 Calculator

Given Input numbers are 998, 250, 684, 160

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 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (998, 250, 684, 160) = 2.

Given numbers are 998, 250, 684, 160

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 998, 250, 684, 160 is 2.

Given numbers are 998, 250, 684, 160

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

Apply this formula for all numbers.

Step1:

LCM(998, 250) = 124750

GCD(998, 250) = ( 998 x 250 ) / 124750

= 998 / 250

= 998

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 998, 250, 684, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 451, 210, 132
• GCD of 132, 963, 158, 126
• GCD of 251, 243, 348, 115
• GCD of 735, 798, 836, 766
• GCD of 382, 772, 659, 573

Given numbers are 998, 250, 684, 160
The greatest common divisor of numbers 998, 250, 684, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 250, 684, 160 is 2.

1. What is the GCD of 998, 250, 684, 160?

GCD of given numbers 998, 250, 684, 160 is 2

2. How to calculate the greatest common divisor of 998, 250, 684, 160?

We can find the highest common divisor of 998, 250, 684, 160 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, 250, 684, 160 i.e 2.

3. How can I use the GCD of 998, 250, 684, 160Calculator?

Out the numbers 998, 250, 684, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.