GCD of 896, 316, 380, 960 Calculator

Given Input numbers are 896, 316, 380, 960

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (896, 316, 380, 960) = 4.

Given numbers are 896, 316, 380, 960

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 316 are 2 x 2 x 79

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 896, 316, 380, 960 is 4.

Given numbers are 896, 316, 380, 960

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

Apply this formula for all numbers.

Step1:

LCM(896, 316) = 70784

GCD(896, 316) = ( 896 x 316 ) / 70784

= 896 / 316

= 896

Step2:

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

= 4 / 380

= 4

Step3:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4

So, Greatest Common Divisor of 896, 316, 380, 960 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 487, 500, 635
• GCD of 161, 637, 602, 723
• GCD of 530, 526, 339, 754
• GCD of 276, 866, 253, 283
• GCD of 587, 497, 891, 838

Given numbers are 896, 316, 380, 960
The greatest common divisor of numbers 896, 316, 380, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 316, 380, 960 is 4.

1. What is the GCD of 896, 316, 380, 960?

GCD of given numbers 896, 316, 380, 960 is 4

2. How to calculate the greatest common divisor of 896, 316, 380, 960?

We can find the highest common divisor of 896, 316, 380, 960 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 896, 316, 380, 960 i.e 4.

3. How can I use the GCD of 896, 316, 380, 960Calculator?

Out the numbers 896, 316, 380, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.