GCD of 344, 834, 732, 490 Calculator

Given Input numbers are 344, 834, 732, 490

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (344, 834, 732, 490) = 2.

Given numbers are 344, 834, 732, 490

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 834 are 2 x 3 x 139

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 344, 834, 732, 490 is 2.

Given numbers are 344, 834, 732, 490

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

Apply this formula for all numbers.

Step1:

LCM(344, 834) = 143448

GCD(344, 834) = ( 344 x 834 ) / 143448

= 344 / 834

= 344

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 344, 834, 732, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 606, 948, 267
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Given numbers are 344, 834, 732, 490
The greatest common divisor of numbers 344, 834, 732, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 834, 732, 490 is 2.

1. What is the GCD of 344, 834, 732, 490?

GCD of given numbers 344, 834, 732, 490 is 2

2. How to calculate the greatest common divisor of 344, 834, 732, 490?

We can find the highest common divisor of 344, 834, 732, 490 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 344, 834, 732, 490 i.e 2.

3. How can I use the GCD of 344, 834, 732, 490Calculator?

Out the numbers 344, 834, 732, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.