GCD of 742, 348, 30, 302 Calculator

Given Input numbers are 742, 348, 30, 302

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (742, 348, 30, 302) = 2.

Given numbers are 742, 348, 30, 302

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 30 are 2 x 3 x 5

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 742, 348, 30, 302 is 2.

Given numbers are 742, 348, 30, 302

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

Apply this formula for all numbers.

Step1:

LCM(742, 348) = 129108

GCD(742, 348) = ( 742 x 348 ) / 129108

= 742 / 348

= 742

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 742, 348, 30, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 645, 50, 178
• GCD of 531, 670, 58, 905
• GCD of 426, 490, 40, 328
• GCD of 899, 326, 25, 288
• GCD of 370, 489, 50, 749

Given numbers are 742, 348, 30, 302
The greatest common divisor of numbers 742, 348, 30, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 348, 30, 302 is 2.

1. What is the GCD of 742, 348, 30, 302?

GCD of given numbers 742, 348, 30, 302 is 2

2. How to calculate the greatest common divisor of 742, 348, 30, 302?

We can find the highest common divisor of 742, 348, 30, 302 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 742, 348, 30, 302 i.e 2.

3. How can I use the GCD of 742, 348, 30, 302Calculator?

Out the numbers 742, 348, 30, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.