GCD of 498, 438, 840, 213 Calculator

Given Input numbers are 498, 438, 840, 213

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (498, 438, 840, 213) = 3.

Given numbers are 498, 438, 840, 213

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 438 are 2 x 3 x 73

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 498, 438, 840, 213 is 3.

Given numbers are 498, 438, 840, 213

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

Apply this formula for all numbers.

Step1:

LCM(498, 438) = 36354

GCD(498, 438) = ( 498 x 438 ) / 36354

= 498 / 438

= 498

Step2:

LCM(6, 840) = 840

GCD(6, 840) = ( 6 x 840 ) / 840

= 6 / 840

= 6

Step3:

LCM(6, 213) = 426

GCD(6, 213) = ( 6 x 213 ) / 426

= 6 / 213

= 6

So, Greatest Common Divisor of 498, 438, 840, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 298, 668, 301
• GCD of 542, 572, 905, 848
• GCD of 777, 912, 263, 934
• GCD of 211, 316, 410, 715
• GCD of 504, 671, 147, 995

Given numbers are 498, 438, 840, 213
The greatest common divisor of numbers 498, 438, 840, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 438, 840, 213 is 3.

1. What is the GCD of 498, 438, 840, 213?

GCD of given numbers 498, 438, 840, 213 is 3

2. How to calculate the greatest common divisor of 498, 438, 840, 213?

We can find the highest common divisor of 498, 438, 840, 213 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, 438, 840, 213 i.e 3.

3. How can I use the GCD of 498, 438, 840, 213Calculator?

Out the numbers 498, 438, 840, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.