GCD of 332, 696, 480, 454 Calculator

Given Input numbers are 332, 696, 480, 454

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

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (332, 696, 480, 454) = 2.

Given numbers are 332, 696, 480, 454

The list of prime factors of all numbers are

Prime factors of 332 are 2 x 2 x 83

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 332, 696, 480, 454 is 2.

Given numbers are 332, 696, 480, 454

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

Apply this formula for all numbers.

Step1:

LCM(332, 696) = 57768

GCD(332, 696) = ( 332 x 696 ) / 57768

= 332 / 696

= 332

Step2:

LCM(4, 480) = 480

GCD(4, 480) = ( 4 x 480 ) / 480

= 4 / 480

= 4

Step3:

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

= 4 / 454

= 4

So, Greatest Common Divisor of 332, 696, 480, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 893, 857, 821
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Given numbers are 332, 696, 480, 454
The greatest common divisor of numbers 332, 696, 480, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 332, 696, 480, 454 is 2.

1. What is the GCD of 332, 696, 480, 454?

GCD of given numbers 332, 696, 480, 454 is 2

2. How to calculate the greatest common divisor of 332, 696, 480, 454?

We can find the highest common divisor of 332, 696, 480, 454 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 332, 696, 480, 454 i.e 2.

3. How can I use the GCD of 332, 696, 480, 454Calculator?

Out the numbers 332, 696, 480, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.