GCD of 702, 598, 478, 728 Calculator

Given Input numbers are 702, 598, 478, 728

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

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (702, 598, 478, 728) = 2.

Given numbers are 702, 598, 478, 728

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 478 are 2 x 239

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 702, 598, 478, 728 is 2.

Given numbers are 702, 598, 478, 728

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

Apply this formula for all numbers.

Step1:

LCM(702, 598) = 16146

GCD(702, 598) = ( 702 x 598 ) / 16146

= 702 / 598

= 702

Step2:

LCM(26, 478) = 6214

GCD(26, 478) = ( 26 x 478 ) / 6214

= 26 / 478

= 26

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 702, 598, 478, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 270, 932, 450
• GCD of 758, 940, 696, 556
• GCD of 480, 888, 101, 983
• GCD of 963, 400, 344, 145
• GCD of 208, 571, 617, 257

Given numbers are 702, 598, 478, 728
The greatest common divisor of numbers 702, 598, 478, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 598, 478, 728 is 2.

1. What is the GCD of 702, 598, 478, 728?

GCD of given numbers 702, 598, 478, 728 is 2

2. How to calculate the greatest common divisor of 702, 598, 478, 728?

We can find the highest common divisor of 702, 598, 478, 728 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 702, 598, 478, 728 i.e 2.

3. How can I use the GCD of 702, 598, 478, 728Calculator?

Out the numbers 702, 598, 478, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.