GCD of 902, 428, 412, 320 Calculator

Given Input numbers are 902, 428, 412, 320

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (902, 428, 412, 320) = 2.

Given numbers are 902, 428, 412, 320

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 428 are 2 x 2 x 107

Prime factors of 412 are 2 x 2 x 103

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 902, 428, 412, 320 is 2.

Given numbers are 902, 428, 412, 320

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

Apply this formula for all numbers.

Step1:

LCM(902, 428) = 193028

GCD(902, 428) = ( 902 x 428 ) / 193028

= 902 / 428

= 902

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 902, 428, 412, 320 is 2

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• GCD of 706, 933, 153, 721
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Given numbers are 902, 428, 412, 320
The greatest common divisor of numbers 902, 428, 412, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 428, 412, 320 is 2.

1. What is the GCD of 902, 428, 412, 320?

GCD of given numbers 902, 428, 412, 320 is 2

2. How to calculate the greatest common divisor of 902, 428, 412, 320?

We can find the highest common divisor of 902, 428, 412, 320 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 902, 428, 412, 320 i.e 2.

3. How can I use the GCD of 902, 428, 412, 320Calculator?

Out the numbers 902, 428, 412, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.