GCD of 268, 998, 490, 828 Calculator

Given Input numbers are 268, 998, 490, 828

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 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 (268, 998, 490, 828) = 2.

Given numbers are 268, 998, 490, 828

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 998 are 2 x 499

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

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

The highest common occurrence is 2¹

Therefore, GCD of 268, 998, 490, 828 is 2.

Given numbers are 268, 998, 490, 828

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

Apply this formula for all numbers.

Step1:

LCM(268, 998) = 133732

GCD(268, 998) = ( 268 x 998 ) / 133732

= 268 / 998

= 268

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

Step3:

LCM(2, 828) = 828

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

= 2 / 828

= 2

So, Greatest Common Divisor of 268, 998, 490, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 436, 600, 299
• GCD of 260, 191, 295, 519
• GCD of 373, 731, 695, 596
• GCD of 994, 510, 950, 930
• GCD of 481, 958, 157, 976

Given numbers are 268, 998, 490, 828
The greatest common divisor of numbers 268, 998, 490, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 998, 490, 828 is 2.

1. What is the GCD of 268, 998, 490, 828?

GCD of given numbers 268, 998, 490, 828 is 2

2. How to calculate the greatest common divisor of 268, 998, 490, 828?

We can find the highest common divisor of 268, 998, 490, 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 268, 998, 490, 828 i.e 2.

3. How can I use the GCD of 268, 998, 490, 828Calculator?

Out the numbers 268, 998, 490, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.