GCD of 490, 444, 616, 340 Calculator

Given Input numbers are 490, 444, 616, 340

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (490, 444, 616, 340) = 2.

Given numbers are 490, 444, 616, 340

The list of prime factors of all numbers are

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

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 490, 444, 616, 340 is 2.

Given numbers are 490, 444, 616, 340

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

Apply this formula for all numbers.

Step1:

LCM(490, 444) = 108780

GCD(490, 444) = ( 490 x 444 ) / 108780

= 490 / 444

= 490

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 490, 444, 616, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 687, 622, 309
• GCD of 450, 669, 312, 411
• GCD of 629, 529, 312, 139
• GCD of 480, 308, 843, 895
• GCD of 792, 340, 991, 432

Given numbers are 490, 444, 616, 340
The greatest common divisor of numbers 490, 444, 616, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 444, 616, 340 is 2.

1. What is the GCD of 490, 444, 616, 340?

GCD of given numbers 490, 444, 616, 340 is 2

2. How to calculate the greatest common divisor of 490, 444, 616, 340?

We can find the highest common divisor of 490, 444, 616, 340 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, 444, 616, 340 i.e 2.

3. How can I use the GCD of 490, 444, 616, 340Calculator?

Out the numbers 490, 444, 616, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.