GCD of 724, 464, 96 Calculator

Given Input numbers are 724, 464, 96

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD of numbers is the greatest common divisor

So, the GCD (724, 464, 96) = 4.

Given numbers are 724, 464, 96

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 724, 464, 96 is 4.

Given numbers are 724, 464, 96

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

Apply this formula for all numbers.

Step1:

LCM(724, 464) = 83984

GCD(724, 464) = ( 724 x 464 ) / 83984

= 724 / 464

= 724

Step2:

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

= 4 / 96

= 4

So, Greatest Common Divisor of 724, 464, 96 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 680, 72
• GCD of 240, 985, 94
• GCD of 581, 747, 66
• GCD of 467, 532, 95
• GCD of 146, 652, 40

Given numbers are 724, 464, 96
The greatest common divisor of numbers 724, 464, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 464, 96 is 4.

1. What is the GCD of 724, 464, 96?

GCD of given numbers 724, 464, 96 is 4

2. How to calculate the greatest common divisor of 724, 464, 96?

We can find the highest common divisor of 724, 464, 96 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 724, 464, 96 i.e 4.

3. How can I use the GCD of 724, 464, 96Calculator?

Out the numbers 724, 464, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.