GCD of 550, 656, 766, 392 Calculator

Given Input numbers are 550, 656, 766, 392

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

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

GCD of numbers is the greatest common divisor

So, the GCD (550, 656, 766, 392) = 2.

Given numbers are 550, 656, 766, 392

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 766 are 2 x 383

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

The highest common occurrence is 2¹

Therefore, GCD of 550, 656, 766, 392 is 2.

Given numbers are 550, 656, 766, 392

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

Apply this formula for all numbers.

Step1:

LCM(550, 656) = 180400

GCD(550, 656) = ( 550 x 656 ) / 180400

= 550 / 656

= 550

Step2:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

Step3:

LCM(2, 392) = 392

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

= 2 / 392

= 2

So, Greatest Common Divisor of 550, 656, 766, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 895, 128, 311
• GCD of 416, 881, 813, 619
• GCD of 975, 177, 407, 557
• GCD of 367, 768, 794, 870
• GCD of 144, 634, 602, 153

Given numbers are 550, 656, 766, 392
The greatest common divisor of numbers 550, 656, 766, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 656, 766, 392 is 2.

1. What is the GCD of 550, 656, 766, 392?

GCD of given numbers 550, 656, 766, 392 is 2

2. How to calculate the greatest common divisor of 550, 656, 766, 392?

We can find the highest common divisor of 550, 656, 766, 392 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 550, 656, 766, 392 i.e 2.

3. How can I use the GCD of 550, 656, 766, 392Calculator?

Out the numbers 550, 656, 766, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.