GCD of 490, 764, 322, 928 Calculator

Given Input numbers are 490, 764, 322, 928

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (490, 764, 322, 928) = 2.

Given numbers are 490, 764, 322, 928

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 322 are 2 x 7 x 23

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 490, 764, 322, 928 is 2.

Given numbers are 490, 764, 322, 928

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

Apply this formula for all numbers.

Step1:

LCM(490, 764) = 187180

GCD(490, 764) = ( 490 x 764 ) / 187180

= 490 / 764

= 490

Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 490, 764, 322, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 630, 201, 254
• GCD of 361, 361, 433, 851
• GCD of 107, 544, 200, 576
• GCD of 982, 956, 915, 683
• GCD of 532, 922, 652, 644

Given numbers are 490, 764, 322, 928
The greatest common divisor of numbers 490, 764, 322, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 764, 322, 928 is 2.

1. What is the GCD of 490, 764, 322, 928?

GCD of given numbers 490, 764, 322, 928 is 2

2. How to calculate the greatest common divisor of 490, 764, 322, 928?

We can find the highest common divisor of 490, 764, 322, 928 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, 764, 322, 928 i.e 2.

3. How can I use the GCD of 490, 764, 322, 928Calculator?

Out the numbers 490, 764, 322, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.