GCD of 296, 480, 704 Calculator

Given Input numbers are 296, 480, 704

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (296, 480, 704) = 8.

Given numbers are 296, 480, 704

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2³

Therefore, GCD of 296, 480, 704 is 8.

Given numbers are 296, 480, 704

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

Apply this formula for all numbers.

Step1:

LCM(296, 480) = 17760

GCD(296, 480) = ( 296 x 480 ) / 17760

= 296 / 480

= 296

Step2:

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

= 8 / 704

= 8

So, Greatest Common Divisor of 296, 480, 704 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 923, 207
• GCD of 230, 940, 278
• GCD of 747, 817, 337
• GCD of 962, 125, 615
• GCD of 962, 730, 966

Given numbers are 296, 480, 704
The greatest common divisor of numbers 296, 480, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 480, 704 is 8.

1. What is the GCD of 296, 480, 704?

GCD of given numbers 296, 480, 704 is 8

2. How to calculate the greatest common divisor of 296, 480, 704?

We can find the highest common divisor of 296, 480, 704 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 296, 480, 704 i.e 8.

3. How can I use the GCD of 296, 480, 704Calculator?

Out the numbers 296, 480, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.