GCD of 298, 328, 702, 584 Calculator

Given Input numbers are 298, 328, 702, 584

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (298, 328, 702, 584) = 2.

Given numbers are 298, 328, 702, 584

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 298, 328, 702, 584 is 2.

Given numbers are 298, 328, 702, 584

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

Apply this formula for all numbers.

Step1:

LCM(298, 328) = 48872

GCD(298, 328) = ( 298 x 328 ) / 48872

= 298 / 328

= 298

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 298, 328, 702, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 142, 997, 287
• GCD of 255, 627, 486, 975
• GCD of 514, 976, 869, 287
• GCD of 311, 152, 977, 874
• GCD of 850, 919, 945, 619

Given numbers are 298, 328, 702, 584
The greatest common divisor of numbers 298, 328, 702, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 328, 702, 584 is 2.

1. What is the GCD of 298, 328, 702, 584?

GCD of given numbers 298, 328, 702, 584 is 2

2. How to calculate the greatest common divisor of 298, 328, 702, 584?

We can find the highest common divisor of 298, 328, 702, 584 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 298, 328, 702, 584 i.e 2.

3. How can I use the GCD of 298, 328, 702, 584Calculator?

Out the numbers 298, 328, 702, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.