GCD of 348, 782, 628, 302 Calculator

Given Input numbers are 348, 782, 628, 302

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

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 (348, 782, 628, 302) = 2.

Given numbers are 348, 782, 628, 302

The list of prime factors of all numbers are

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

Prime factors of 782 are 2 x 17 x 23

Prime factors of 628 are 2 x 2 x 157

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 348, 782, 628, 302 is 2.

Given numbers are 348, 782, 628, 302

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

Apply this formula for all numbers.

Step1:

LCM(348, 782) = 136068

GCD(348, 782) = ( 348 x 782 ) / 136068

= 348 / 782

= 348

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 302) = 302

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

= 2 / 302

= 2

So, Greatest Common Divisor of 348, 782, 628, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 958, 606, 369
• GCD of 988, 851, 327, 669
• GCD of 785, 670, 870, 176
• GCD of 462, 230, 386, 675
• GCD of 882, 302, 606, 881

Given numbers are 348, 782, 628, 302
The greatest common divisor of numbers 348, 782, 628, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 782, 628, 302 is 2.

1. What is the GCD of 348, 782, 628, 302?

GCD of given numbers 348, 782, 628, 302 is 2

2. How to calculate the greatest common divisor of 348, 782, 628, 302?

We can find the highest common divisor of 348, 782, 628, 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 348, 782, 628, 302 i.e 2.

3. How can I use the GCD of 348, 782, 628, 302Calculator?

Out the numbers 348, 782, 628, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.