GCD of 344, 496, 850, 650 Calculator

Given Input numbers are 344, 496, 850, 650

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

GCD of numbers is the greatest common divisor

So, the GCD (344, 496, 850, 650) = 2.

Given numbers are 344, 496, 850, 650

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 850 are 2 x 5 x 5 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 344, 496, 850, 650 is 2.

Given numbers are 344, 496, 850, 650

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

Apply this formula for all numbers.

Step1:

LCM(344, 496) = 21328

GCD(344, 496) = ( 344 x 496 ) / 21328

= 344 / 496

= 344

Step2:

LCM(8, 850) = 3400

GCD(8, 850) = ( 8 x 850 ) / 3400

= 8 / 850

= 8

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 344, 496, 850, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 950, 199, 791
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• GCD of 720, 343, 325, 737
• GCD of 756, 588, 192, 916

Given numbers are 344, 496, 850, 650
The greatest common divisor of numbers 344, 496, 850, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 496, 850, 650 is 2.

1. What is the GCD of 344, 496, 850, 650?

GCD of given numbers 344, 496, 850, 650 is 2

2. How to calculate the greatest common divisor of 344, 496, 850, 650?

We can find the highest common divisor of 344, 496, 850, 650 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 344, 496, 850, 650 i.e 2.

3. How can I use the GCD of 344, 496, 850, 650Calculator?

Out the numbers 344, 496, 850, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.