GCD of 752, 342, 702, 586 Calculator

Given Input numbers are 752, 342, 702, 586

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (752, 342, 702, 586) = 2.

Given numbers are 752, 342, 702, 586

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 752, 342, 702, 586 is 2.

Given numbers are 752, 342, 702, 586

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

Apply this formula for all numbers.

Step1:

LCM(752, 342) = 128592

GCD(752, 342) = ( 752 x 342 ) / 128592

= 752 / 342

= 752

Step2:

LCM(2, 702) = 702

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

= 2 / 702

= 2

Step3:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

So, Greatest Common Divisor of 752, 342, 702, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 722, 542, 635
• GCD of 992, 600, 710, 444
• GCD of 394, 129, 864, 983
• GCD of 611, 160, 276, 106
• GCD of 304, 278, 868, 500

Given numbers are 752, 342, 702, 586
The greatest common divisor of numbers 752, 342, 702, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 342, 702, 586 is 2.

1. What is the GCD of 752, 342, 702, 586?

GCD of given numbers 752, 342, 702, 586 is 2

2. How to calculate the greatest common divisor of 752, 342, 702, 586?

We can find the highest common divisor of 752, 342, 702, 586 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 752, 342, 702, 586 i.e 2.

3. How can I use the GCD of 752, 342, 702, 586Calculator?

Out the numbers 752, 342, 702, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.