GCD of 336, 471, 498, 240 Calculator

Given Input numbers are 336, 471, 498, 240

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 498 :

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (336, 471, 498, 240) = 3.

Given numbers are 336, 471, 498, 240

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 471 are 3 x 157

Prime factors of 498 are 2 x 3 x 83

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 336, 471, 498, 240 is 3.

Given numbers are 336, 471, 498, 240

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

Apply this formula for all numbers.

Step1:

LCM(336, 471) = 52752

GCD(336, 471) = ( 336 x 471 ) / 52752

= 336 / 471

= 336

Step2:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 336, 471, 498, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 145, 516, 131
• GCD of 287, 785, 631, 774
• GCD of 298, 665, 682, 690
• GCD of 943, 534, 813, 257
• GCD of 394, 128, 729, 698

Given numbers are 336, 471, 498, 240
The greatest common divisor of numbers 336, 471, 498, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 471, 498, 240 is 3.

1. What is the GCD of 336, 471, 498, 240?

GCD of given numbers 336, 471, 498, 240 is 3

2. How to calculate the greatest common divisor of 336, 471, 498, 240?

We can find the highest common divisor of 336, 471, 498, 240 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 336, 471, 498, 240 i.e 3.

3. How can I use the GCD of 336, 471, 498, 240Calculator?

Out the numbers 336, 471, 498, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.