GCD of 498, 302, 118, 598 Calculator

Given Input numbers are 498, 302, 118, 598

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 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (498, 302, 118, 598) = 2.

Given numbers are 498, 302, 118, 598

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 302 are 2 x 151

Prime factors of 118 are 2 x 59

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 498, 302, 118, 598 is 2.

Given numbers are 498, 302, 118, 598

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

Apply this formula for all numbers.

Step1:

LCM(498, 302) = 75198

GCD(498, 302) = ( 498 x 302 ) / 75198

= 498 / 302

= 498

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 498, 302, 118, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 110, 203, 249
• GCD of 994, 184, 668, 695
• GCD of 924, 795, 540, 124
• GCD of 567, 766, 224, 857
• GCD of 113, 842, 962, 670

Given numbers are 498, 302, 118, 598
The greatest common divisor of numbers 498, 302, 118, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 302, 118, 598 is 2.

1. What is the GCD of 498, 302, 118, 598?

GCD of given numbers 498, 302, 118, 598 is 2

2. How to calculate the greatest common divisor of 498, 302, 118, 598?

We can find the highest common divisor of 498, 302, 118, 598 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, 302, 118, 598 i.e 2.

3. How can I use the GCD of 498, 302, 118, 598Calculator?

Out the numbers 498, 302, 118, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.