GCD of 490, 852, 310, 304 Calculator

Given Input numbers are 490, 852, 310, 304

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (490, 852, 310, 304) = 2.

Given numbers are 490, 852, 310, 304

The list of prime factors of all numbers are

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 310 are 2 x 5 x 31

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 490, 852, 310, 304 is 2.

Given numbers are 490, 852, 310, 304

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

Apply this formula for all numbers.

Step1:

LCM(490, 852) = 208740

GCD(490, 852) = ( 490 x 852 ) / 208740

= 490 / 852

= 490

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 490, 852, 310, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 181, 587, 366
• GCD of 969, 530, 736, 928
• GCD of 220, 665, 694, 693
• GCD of 459, 667, 921, 460
• GCD of 897, 673, 164, 396

Given numbers are 490, 852, 310, 304
The greatest common divisor of numbers 490, 852, 310, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 852, 310, 304 is 2.

1. What is the GCD of 490, 852, 310, 304?

GCD of given numbers 490, 852, 310, 304 is 2

2. How to calculate the greatest common divisor of 490, 852, 310, 304?

We can find the highest common divisor of 490, 852, 310, 304 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, 852, 310, 304 i.e 2.

3. How can I use the GCD of 490, 852, 310, 304Calculator?

Out the numbers 490, 852, 310, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.