GCD of 850, 736, 208, 224 Calculator

Given Input numbers are 850, 736, 208, 224

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

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (850, 736, 208, 224) = 2.

Given numbers are 850, 736, 208, 224

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 850, 736, 208, 224 is 2.

Given numbers are 850, 736, 208, 224

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

Apply this formula for all numbers.

Step1:

LCM(850, 736) = 312800

GCD(850, 736) = ( 850 x 736 ) / 312800

= 850 / 736

= 850

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 850, 736, 208, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 973, 406, 321
• GCD of 145, 667, 832, 988
• GCD of 312, 426, 298, 476
• GCD of 287, 127, 746, 717
• GCD of 466, 802, 848, 338

Given numbers are 850, 736, 208, 224
The greatest common divisor of numbers 850, 736, 208, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 736, 208, 224 is 2.

1. What is the GCD of 850, 736, 208, 224?

GCD of given numbers 850, 736, 208, 224 is 2

2. How to calculate the greatest common divisor of 850, 736, 208, 224?

We can find the highest common divisor of 850, 736, 208, 224 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 850, 736, 208, 224 i.e 2.

3. How can I use the GCD of 850, 736, 208, 224Calculator?

Out the numbers 850, 736, 208, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.