GCD of 498, 414, 768, 120 Calculator

Given Input numbers are 498, 414, 768, 120

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 (498, 414, 768, 120) = 6.

Given numbers are 498, 414, 768, 120

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 498, 414, 768, 120 is 6.

Given numbers are 498, 414, 768, 120

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

Apply this formula for all numbers.

Step1:

LCM(498, 414) = 34362

GCD(498, 414) = ( 498 x 414 ) / 34362

= 498 / 414

= 498

Step2:

LCM(6, 768) = 768

GCD(6, 768) = ( 6 x 768 ) / 768

= 6 / 768

= 6

Step3:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 498, 414, 768, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 301, 683, 509
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• GCD of 886, 904, 974, 824

Given numbers are 498, 414, 768, 120
The greatest common divisor of numbers 498, 414, 768, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 414, 768, 120 is 6.

1. What is the GCD of 498, 414, 768, 120?

GCD of given numbers 498, 414, 768, 120 is 6

2. How to calculate the greatest common divisor of 498, 414, 768, 120?

We can find the highest common divisor of 498, 414, 768, 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 498, 414, 768, 120 i.e 6.

3. How can I use the GCD of 498, 414, 768, 120Calculator?

Out the numbers 498, 414, 768, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.