GCD of 384, 410, 742, 674 Calculator

Given Input numbers are 384, 410, 742, 674

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 742 :

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

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (384, 410, 742, 674) = 2.

Given numbers are 384, 410, 742, 674

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 410 are 2 x 5 x 41

Prime factors of 742 are 2 x 7 x 53

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 384, 410, 742, 674 is 2.

Given numbers are 384, 410, 742, 674

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

Apply this formula for all numbers.

Step1:

LCM(384, 410) = 78720

GCD(384, 410) = ( 384 x 410 ) / 78720

= 384 / 410

= 384

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 384, 410, 742, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 343, 361, 669
• GCD of 704, 288, 487, 101
• GCD of 242, 701, 759, 487
• GCD of 126, 880, 713, 305
• GCD of 240, 201, 944, 285

Given numbers are 384, 410, 742, 674
The greatest common divisor of numbers 384, 410, 742, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 410, 742, 674 is 2.

1. What is the GCD of 384, 410, 742, 674?

GCD of given numbers 384, 410, 742, 674 is 2

2. How to calculate the greatest common divisor of 384, 410, 742, 674?

We can find the highest common divisor of 384, 410, 742, 674 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 384, 410, 742, 674 i.e 2.

3. How can I use the GCD of 384, 410, 742, 674Calculator?

Out the numbers 384, 410, 742, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.