GCD of 538, 320, 136, 120 Calculator

Given Input numbers are 538, 320, 136, 120

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

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

GCD of numbers is the greatest common divisor

So, the GCD (538, 320, 136, 120) = 2.

Given numbers are 538, 320, 136, 120

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 538, 320, 136, 120 is 2.

Given numbers are 538, 320, 136, 120

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

Apply this formula for all numbers.

Step1:

LCM(538, 320) = 86080

GCD(538, 320) = ( 538 x 320 ) / 86080

= 538 / 320

= 538

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 538, 320, 136, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 924, 894, 881
• GCD of 827, 148, 646, 504
• GCD of 248, 717, 144, 648
• GCD of 156, 326, 661, 170
• GCD of 498, 832, 231, 424

Given numbers are 538, 320, 136, 120
The greatest common divisor of numbers 538, 320, 136, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 320, 136, 120 is 2.

1. What is the GCD of 538, 320, 136, 120?

GCD of given numbers 538, 320, 136, 120 is 2

2. How to calculate the greatest common divisor of 538, 320, 136, 120?

We can find the highest common divisor of 538, 320, 136, 120 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 538, 320, 136, 120 i.e 2.

3. How can I use the GCD of 538, 320, 136, 120Calculator?

Out the numbers 538, 320, 136, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.