GCD of 120, 295, 496, 638 Calculator

Given Input numbers are 120, 295, 496, 638

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 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (120, 295, 496, 638) = 1.

Given numbers are 120, 295, 496, 638

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 295 are 5 x 59

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

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 120, 295, 496, 638

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

Apply this formula for all numbers.

Step1:

LCM(120, 295) = 7080

GCD(120, 295) = ( 120 x 295 ) / 7080

= 120 / 295

= 120

Step2:

LCM(5, 496) = 2480

GCD(5, 496) = ( 5 x 496 ) / 2480

= 5 / 496

= 5

Step3:

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

= 1 / 638

= 1

So, Greatest Common Divisor of 120, 295, 496, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 346, 809, 664
• GCD of 636, 493, 631, 584
• GCD of 782, 926, 522, 592
• GCD of 541, 516, 857, 494
• GCD of 651, 824, 559, 196

Given numbers are 120, 295, 496, 638
The greatest common divisor of numbers 120, 295, 496, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 295, 496, 638 is 1.

1. What is the GCD of 120, 295, 496, 638?

GCD of given numbers 120, 295, 496, 638 is 1

2. How to calculate the greatest common divisor of 120, 295, 496, 638?

We can find the highest common divisor of 120, 295, 496, 638 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, 295, 496, 638 i.e 1.

3. How can I use the GCD of 120, 295, 496, 638Calculator?

Out the numbers 120, 295, 496, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.