GCD of 394, 148, 682, 512 Calculator

Given Input numbers are 394, 148, 682, 512

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (394, 148, 682, 512) = 2.

Given numbers are 394, 148, 682, 512

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 148 are 2 x 2 x 37

Prime factors of 682 are 2 x 11 x 31

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 394, 148, 682, 512 is 2.

Given numbers are 394, 148, 682, 512

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

Apply this formula for all numbers.

Step1:

LCM(394, 148) = 29156

GCD(394, 148) = ( 394 x 148 ) / 29156

= 394 / 148

= 394

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

So, Greatest Common Divisor of 394, 148, 682, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 542, 649, 554
• GCD of 253, 370, 125, 906
• GCD of 222, 818, 869, 843
• GCD of 861, 194, 962, 422
• GCD of 221, 523, 549, 778

Given numbers are 394, 148, 682, 512
The greatest common divisor of numbers 394, 148, 682, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 148, 682, 512 is 2.

1. What is the GCD of 394, 148, 682, 512?

GCD of given numbers 394, 148, 682, 512 is 2

2. How to calculate the greatest common divisor of 394, 148, 682, 512?

We can find the highest common divisor of 394, 148, 682, 512 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 394, 148, 682, 512 i.e 2.

3. How can I use the GCD of 394, 148, 682, 512Calculator?

Out the numbers 394, 148, 682, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.