GCD of 120, 930, 590, 998 Calculator

Given Input numbers are 120, 930, 590, 998

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (120, 930, 590, 998) = 2.

Given numbers are 120, 930, 590, 998

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 590 are 2 x 5 x 59

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 120, 930, 590, 998 is 2.

Given numbers are 120, 930, 590, 998

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

Apply this formula for all numbers.

Step1:

LCM(120, 930) = 3720

GCD(120, 930) = ( 120 x 930 ) / 3720

= 120 / 930

= 120

Step2:

LCM(30, 590) = 1770

GCD(30, 590) = ( 30 x 590 ) / 1770

= 30 / 590

= 30

Step3:

LCM(10, 998) = 4990

GCD(10, 998) = ( 10 x 998 ) / 4990

= 10 / 998

= 10

So, Greatest Common Divisor of 120, 930, 590, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 879, 896, 198
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Given numbers are 120, 930, 590, 998
The greatest common divisor of numbers 120, 930, 590, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 930, 590, 998 is 2.

1. What is the GCD of 120, 930, 590, 998?

GCD of given numbers 120, 930, 590, 998 is 2

2. How to calculate the greatest common divisor of 120, 930, 590, 998?

We can find the highest common divisor of 120, 930, 590, 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 120, 930, 590, 998 i.e 2.

3. How can I use the GCD of 120, 930, 590, 998Calculator?

Out the numbers 120, 930, 590, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.