GCD of 902, 780, 480, 318 Calculator

Given Input numbers are 902, 780, 480, 318

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (902, 780, 480, 318) = 2.

Given numbers are 902, 780, 480, 318

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 902, 780, 480, 318 is 2.

Given numbers are 902, 780, 480, 318

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

Apply this formula for all numbers.

Step1:

LCM(902, 780) = 351780

GCD(902, 780) = ( 902 x 780 ) / 351780

= 902 / 780

= 902

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 902, 780, 480, 318 is 2

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Given numbers are 902, 780, 480, 318
The greatest common divisor of numbers 902, 780, 480, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 780, 480, 318 is 2.

1. What is the GCD of 902, 780, 480, 318?

GCD of given numbers 902, 780, 480, 318 is 2

2. How to calculate the greatest common divisor of 902, 780, 480, 318?

We can find the highest common divisor of 902, 780, 480, 318 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, 780, 480, 318 i.e 2.

3. How can I use the GCD of 902, 780, 480, 318Calculator?

Out the numbers 902, 780, 480, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.