GCD of 736, 496, 900, 344 Calculator

Given Input numbers are 736, 496, 900, 344

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 496 :

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

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 344 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (736, 496, 900, 344) = 4.

Given numbers are 736, 496, 900, 344

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 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 736, 496, 900, 344 is 4.

Given numbers are 736, 496, 900, 344

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

Apply this formula for all numbers.

Step1:

LCM(736, 496) = 22816

GCD(736, 496) = ( 736 x 496 ) / 22816

= 736 / 496

= 736

Step2:

LCM(16, 900) = 3600

GCD(16, 900) = ( 16 x 900 ) / 3600

= 16 / 900

= 16

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 736, 496, 900, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 533, 684, 786
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Given numbers are 736, 496, 900, 344
The greatest common divisor of numbers 736, 496, 900, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 496, 900, 344 is 4.

1. What is the GCD of 736, 496, 900, 344?

GCD of given numbers 736, 496, 900, 344 is 4

2. How to calculate the greatest common divisor of 736, 496, 900, 344?

We can find the highest common divisor of 736, 496, 900, 344 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, 496, 900, 344 i.e 4.

3. How can I use the GCD of 736, 496, 900, 344Calculator?

Out the numbers 736, 496, 900, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.