GCD of 490, 440, 346, 828 Calculator

Given Input numbers are 490, 440, 346, 828

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (490, 440, 346, 828) = 2.

Given numbers are 490, 440, 346, 828

The list of prime factors of all numbers are

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

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 346 are 2 x 173

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 490, 440, 346, 828 is 2.

Given numbers are 490, 440, 346, 828

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

Apply this formula for all numbers.

Step1:

LCM(490, 440) = 21560

GCD(490, 440) = ( 490 x 440 ) / 21560

= 490 / 440

= 490

Step2:

LCM(10, 346) = 1730

GCD(10, 346) = ( 10 x 346 ) / 1730

= 10 / 346

= 10

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 490, 440, 346, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 882, 755, 377
• GCD of 830, 265, 554, 298
• GCD of 301, 781, 483, 254
• GCD of 248, 289, 174, 688
• GCD of 191, 545, 243, 884

Given numbers are 490, 440, 346, 828
The greatest common divisor of numbers 490, 440, 346, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 440, 346, 828 is 2.

1. What is the GCD of 490, 440, 346, 828?

GCD of given numbers 490, 440, 346, 828 is 2

2. How to calculate the greatest common divisor of 490, 440, 346, 828?

We can find the highest common divisor of 490, 440, 346, 828 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, 440, 346, 828 i.e 2.

3. How can I use the GCD of 490, 440, 346, 828Calculator?

Out the numbers 490, 440, 346, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.