GCD of 736, 112, 308, 450 Calculator

Given Input numbers are 736, 112, 308, 450

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

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (736, 112, 308, 450) = 2.

Given numbers are 736, 112, 308, 450

The list of prime factors of all numbers are

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 736, 112, 308, 450 is 2.

Given numbers are 736, 112, 308, 450

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

Apply this formula for all numbers.

Step1:

LCM(736, 112) = 5152

GCD(736, 112) = ( 736 x 112 ) / 5152

= 736 / 112

= 736

Step2:

LCM(16, 308) = 1232

GCD(16, 308) = ( 16 x 308 ) / 1232

= 16 / 308

= 16

Step3:

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

= 4 / 450

= 4

So, Greatest Common Divisor of 736, 112, 308, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 331, 694, 359
• GCD of 120, 522, 344, 412
• GCD of 472, 949, 194, 889
• GCD of 251, 654, 575, 598
• GCD of 716, 661, 113, 241

Given numbers are 736, 112, 308, 450
The greatest common divisor of numbers 736, 112, 308, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 112, 308, 450 is 2.

1. What is the GCD of 736, 112, 308, 450?

GCD of given numbers 736, 112, 308, 450 is 2

2. How to calculate the greatest common divisor of 736, 112, 308, 450?

We can find the highest common divisor of 736, 112, 308, 450 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 736, 112, 308, 450 i.e 2.

3. How can I use the GCD of 736, 112, 308, 450Calculator?

Out the numbers 736, 112, 308, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.