GCD of 384, 316, 350, 726 Calculator

Given Input numbers are 384, 316, 350, 726

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (384, 316, 350, 726) = 2.

Given numbers are 384, 316, 350, 726

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 316 are 2 x 2 x 79

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 384, 316, 350, 726 is 2.

Given numbers are 384, 316, 350, 726

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

Apply this formula for all numbers.

Step1:

LCM(384, 316) = 30336

GCD(384, 316) = ( 384 x 316 ) / 30336

= 384 / 316

= 384

Step2:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 384, 316, 350, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 778, 281, 498
• GCD of 295, 964, 951, 937
• GCD of 619, 154, 248, 355
• GCD of 162, 793, 402, 971
• GCD of 134, 706, 416, 228

Given numbers are 384, 316, 350, 726
The greatest common divisor of numbers 384, 316, 350, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 316, 350, 726 is 2.

1. What is the GCD of 384, 316, 350, 726?

GCD of given numbers 384, 316, 350, 726 is 2

2. How to calculate the greatest common divisor of 384, 316, 350, 726?

We can find the highest common divisor of 384, 316, 350, 726 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 384, 316, 350, 726 i.e 2.

3. How can I use the GCD of 384, 316, 350, 726Calculator?

Out the numbers 384, 316, 350, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.