GCD of 490, 704, 586, 176 Calculator

Given Input numbers are 490, 704, 586, 176

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (490, 704, 586, 176) = 2.

Given numbers are 490, 704, 586, 176

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 586 are 2 x 293

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 490, 704, 586, 176 is 2.

Given numbers are 490, 704, 586, 176

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

Apply this formula for all numbers.

Step1:

LCM(490, 704) = 172480

GCD(490, 704) = ( 490 x 704 ) / 172480

= 490 / 704

= 490

Step2:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 490, 704, 586, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 509, 480, 471
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Given numbers are 490, 704, 586, 176
The greatest common divisor of numbers 490, 704, 586, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 704, 586, 176 is 2.

1. What is the GCD of 490, 704, 586, 176?

GCD of given numbers 490, 704, 586, 176 is 2

2. How to calculate the greatest common divisor of 490, 704, 586, 176?

We can find the highest common divisor of 490, 704, 586, 176 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 490, 704, 586, 176 i.e 2.

3. How can I use the GCD of 490, 704, 586, 176Calculator?

Out the numbers 490, 704, 586, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.