GCD of 496, 360, 138, 385 Calculator

Given Input numbers are 496, 360, 138, 385

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (496, 360, 138, 385) = 1.

Given numbers are 496, 360, 138, 385

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 385 are 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 496, 360, 138, 385

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

Apply this formula for all numbers.

Step1:

LCM(496, 360) = 22320

GCD(496, 360) = ( 496 x 360 ) / 22320

= 496 / 360

= 496

Step2:

LCM(8, 138) = 552

GCD(8, 138) = ( 8 x 138 ) / 552

= 8 / 138

= 8

Step3:

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

= 2 / 385

= 2

So, Greatest Common Divisor of 496, 360, 138, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 277, 982, 242
• GCD of 468, 855, 675, 124
• GCD of 297, 345, 355, 856
• GCD of 616, 736, 285, 329
• GCD of 823, 106, 205, 716

Given numbers are 496, 360, 138, 385
The greatest common divisor of numbers 496, 360, 138, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 360, 138, 385 is 1.

1. What is the GCD of 496, 360, 138, 385?

GCD of given numbers 496, 360, 138, 385 is 1

2. How to calculate the greatest common divisor of 496, 360, 138, 385?

We can find the highest common divisor of 496, 360, 138, 385 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 496, 360, 138, 385 i.e 1.

3. How can I use the GCD of 496, 360, 138, 385Calculator?

Out the numbers 496, 360, 138, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.