GCD of 730, 734, 490 Calculator

Given Input numbers are 730, 734, 490

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 (730, 734, 490) = 2.

Given numbers are 730, 734, 490

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 734 are 2 x 367

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

The highest common occurrence is 2¹

Therefore, GCD of 730, 734, 490 is 2.

Given numbers are 730, 734, 490

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

Apply this formula for all numbers.

Step1:

LCM(730, 734) = 267910

GCD(730, 734) = ( 730 x 734 ) / 267910

= 730 / 734

= 730

Step2:

LCM(2, 490) = 490

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

= 2 / 490

= 2

So, Greatest Common Divisor of 730, 734, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 106, 162
• GCD of 317, 391, 378
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• GCD of 234, 559, 950
• GCD of 409, 449, 418

Given numbers are 730, 734, 490
The greatest common divisor of numbers 730, 734, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 734, 490 is 2.

1. What is the GCD of 730, 734, 490?

GCD of given numbers 730, 734, 490 is 2

2. How to calculate the greatest common divisor of 730, 734, 490?

We can find the highest common divisor of 730, 734, 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 730, 734, 490 i.e 2.

3. How can I use the GCD of 730, 734, 490Calculator?

Out the numbers 730, 734, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.