GCD of 702, 614, 28, 590 Calculator

Given Input numbers are 702, 614, 28, 590

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (702, 614, 28, 590) = 2.

Given numbers are 702, 614, 28, 590

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 614 are 2 x 307

Prime factors of 28 are 2 x 2 x 7

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 702, 614, 28, 590 is 2.

Given numbers are 702, 614, 28, 590

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

Apply this formula for all numbers.

Step1:

LCM(702, 614) = 215514

GCD(702, 614) = ( 702 x 614 ) / 215514

= 702 / 614

= 702

Step2:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

Step3:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

So, Greatest Common Divisor of 702, 614, 28, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 447, 57, 908
• GCD of 158, 386, 29, 257
• GCD of 212, 225, 39, 282
• GCD of 846, 910, 32, 264
• GCD of 239, 396, 34, 766

Given numbers are 702, 614, 28, 590
The greatest common divisor of numbers 702, 614, 28, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 614, 28, 590 is 2.

1. What is the GCD of 702, 614, 28, 590?

GCD of given numbers 702, 614, 28, 590 is 2

2. How to calculate the greatest common divisor of 702, 614, 28, 590?

We can find the highest common divisor of 702, 614, 28, 590 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, 614, 28, 590 i.e 2.

3. How can I use the GCD of 702, 614, 28, 590Calculator?

Out the numbers 702, 614, 28, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.