GCD of 498, 736, 242, 524 Calculator

Given Input numbers are 498, 736, 242, 524

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (498, 736, 242, 524) = 2.

Given numbers are 498, 736, 242, 524

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 242 are 2 x 11 x 11

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 498, 736, 242, 524 is 2.

Given numbers are 498, 736, 242, 524

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

Apply this formula for all numbers.

Step1:

LCM(498, 736) = 183264

GCD(498, 736) = ( 498 x 736 ) / 183264

= 498 / 736

= 498

Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 498, 736, 242, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 222, 787, 597
• GCD of 568, 457, 216, 825
• GCD of 542, 659, 204, 902
• GCD of 222, 303, 729, 174
• GCD of 949, 731, 382, 275

Given numbers are 498, 736, 242, 524
The greatest common divisor of numbers 498, 736, 242, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 736, 242, 524 is 2.

1. What is the GCD of 498, 736, 242, 524?

GCD of given numbers 498, 736, 242, 524 is 2

2. How to calculate the greatest common divisor of 498, 736, 242, 524?

We can find the highest common divisor of 498, 736, 242, 524 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, 736, 242, 524 i.e 2.

3. How can I use the GCD of 498, 736, 242, 524Calculator?

Out the numbers 498, 736, 242, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.