GCD of 490, 582, 732, 300 Calculator

Given Input numbers are 490, 582, 732, 300

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (490, 582, 732, 300) = 2.

Given numbers are 490, 582, 732, 300

The list of prime factors of all numbers are

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 490, 582, 732, 300 is 2.

Given numbers are 490, 582, 732, 300

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

Apply this formula for all numbers.

Step1:

LCM(490, 582) = 142590

GCD(490, 582) = ( 490 x 582 ) / 142590

= 490 / 582

= 490

Step2:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 490, 582, 732, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 840, 420, 418
• GCD of 229, 836, 830, 195
• GCD of 681, 566, 474, 223
• GCD of 246, 808, 428, 228
• GCD of 996, 877, 852, 622

Given numbers are 490, 582, 732, 300
The greatest common divisor of numbers 490, 582, 732, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 582, 732, 300 is 2.

1. What is the GCD of 490, 582, 732, 300?

GCD of given numbers 490, 582, 732, 300 is 2

2. How to calculate the greatest common divisor of 490, 582, 732, 300?

We can find the highest common divisor of 490, 582, 732, 300 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, 582, 732, 300 i.e 2.

3. How can I use the GCD of 490, 582, 732, 300Calculator?

Out the numbers 490, 582, 732, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.