GCD of 498, 558, 24, 670 Calculator

Given Input numbers are 498, 558, 24, 670

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (498, 558, 24, 670) = 2.

Given numbers are 498, 558, 24, 670

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 2¹

Therefore, GCD of 498, 558, 24, 670 is 2.

Given numbers are 498, 558, 24, 670

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

Apply this formula for all numbers.

Step1:

LCM(498, 558) = 46314

GCD(498, 558) = ( 498 x 558 ) / 46314

= 498 / 558

= 498

Step2:

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

= 6 / 24

= 6

Step3:

LCM(6, 670) = 2010

GCD(6, 670) = ( 6 x 670 ) / 2010

= 6 / 670

= 6

So, Greatest Common Divisor of 498, 558, 24, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 133, 41, 232
• GCD of 135, 944, 11, 696
• GCD of 589, 491, 91, 695
• GCD of 549, 959, 42, 571
• GCD of 441, 899, 51, 830

Given numbers are 498, 558, 24, 670
The greatest common divisor of numbers 498, 558, 24, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 558, 24, 670 is 2.

1. What is the GCD of 498, 558, 24, 670?

GCD of given numbers 498, 558, 24, 670 is 2

2. How to calculate the greatest common divisor of 498, 558, 24, 670?

We can find the highest common divisor of 498, 558, 24, 670 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, 558, 24, 670 i.e 2.

3. How can I use the GCD of 498, 558, 24, 670Calculator?

Out the numbers 498, 558, 24, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.