GCD of 768, 650, 392, 434 Calculator

Given Input numbers are 768, 650, 392, 434

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (768, 650, 392, 434) = 2.

Given numbers are 768, 650, 392, 434

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 768, 650, 392, 434 is 2.

Given numbers are 768, 650, 392, 434

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

Apply this formula for all numbers.

Step1:

LCM(768, 650) = 249600

GCD(768, 650) = ( 768 x 650 ) / 249600

= 768 / 650

= 768

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 768, 650, 392, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 419, 890, 720
• GCD of 301, 504, 798, 983
• GCD of 204, 528, 808, 281
• GCD of 289, 364, 829, 287
• GCD of 566, 708, 846, 359

Given numbers are 768, 650, 392, 434
The greatest common divisor of numbers 768, 650, 392, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 650, 392, 434 is 2.

1. What is the GCD of 768, 650, 392, 434?

GCD of given numbers 768, 650, 392, 434 is 2

2. How to calculate the greatest common divisor of 768, 650, 392, 434?

We can find the highest common divisor of 768, 650, 392, 434 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 768, 650, 392, 434 i.e 2.

3. How can I use the GCD of 768, 650, 392, 434Calculator?

Out the numbers 768, 650, 392, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.