GCD of 120, 500, 996, 154 Calculator

Given Input numbers are 120, 500, 996, 154

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (120, 500, 996, 154) = 2.

Given numbers are 120, 500, 996, 154

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 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 120, 500, 996, 154 is 2.

Given numbers are 120, 500, 996, 154

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

Apply this formula for all numbers.

Step1:

LCM(120, 500) = 3000

GCD(120, 500) = ( 120 x 500 ) / 3000

= 120 / 500

= 120

Step2:

LCM(20, 996) = 4980

GCD(20, 996) = ( 20 x 996 ) / 4980

= 20 / 996

= 20

Step3:

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

= 4 / 154

= 4

So, Greatest Common Divisor of 120, 500, 996, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 158, 200, 250
• GCD of 301, 876, 857, 814
• GCD of 734, 939, 227, 109
• GCD of 682, 459, 110, 711
• GCD of 322, 508, 191, 411

Given numbers are 120, 500, 996, 154
The greatest common divisor of numbers 120, 500, 996, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 500, 996, 154 is 2.

1. What is the GCD of 120, 500, 996, 154?

GCD of given numbers 120, 500, 996, 154 is 2

2. How to calculate the greatest common divisor of 120, 500, 996, 154?

We can find the highest common divisor of 120, 500, 996, 154 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, 500, 996, 154 i.e 2.

3. How can I use the GCD of 120, 500, 996, 154Calculator?

Out the numbers 120, 500, 996, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.