GCD of 398, 480, 940, 130 Calculator

Given Input numbers are 398, 480, 940, 130

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (398, 480, 940, 130) = 2.

Given numbers are 398, 480, 940, 130

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 398, 480, 940, 130 is 2.

Given numbers are 398, 480, 940, 130

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

Apply this formula for all numbers.

Step1:

LCM(398, 480) = 95520

GCD(398, 480) = ( 398 x 480 ) / 95520

= 398 / 480

= 398

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 398, 480, 940, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 587, 393, 322
• GCD of 166, 486, 153, 664
• GCD of 219, 107, 973, 305
• GCD of 571, 749, 702, 142
• GCD of 109, 939, 816, 828

Given numbers are 398, 480, 940, 130
The greatest common divisor of numbers 398, 480, 940, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 480, 940, 130 is 2.

1. What is the GCD of 398, 480, 940, 130?

GCD of given numbers 398, 480, 940, 130 is 2

2. How to calculate the greatest common divisor of 398, 480, 940, 130?

We can find the highest common divisor of 398, 480, 940, 130 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 398, 480, 940, 130 i.e 2.

3. How can I use the GCD of 398, 480, 940, 130Calculator?

Out the numbers 398, 480, 940, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.