GCD of 480, 441, 948, 348 Calculator

Given Input numbers are 480, 441, 948, 348

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

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 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (480, 441, 948, 348) = 3.

Given numbers are 480, 441, 948, 348

The list of prime factors of all numbers are

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

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 480, 441, 948, 348 is 3.

Given numbers are 480, 441, 948, 348

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

Apply this formula for all numbers.

Step1:

LCM(480, 441) = 70560

GCD(480, 441) = ( 480 x 441 ) / 70560

= 480 / 441

= 480

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 480, 441, 948, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 300, 697, 494
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Given numbers are 480, 441, 948, 348
The greatest common divisor of numbers 480, 441, 948, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 441, 948, 348 is 3.

1. What is the GCD of 480, 441, 948, 348?

GCD of given numbers 480, 441, 948, 348 is 3

2. How to calculate the greatest common divisor of 480, 441, 948, 348?

We can find the highest common divisor of 480, 441, 948, 348 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 480, 441, 948, 348 i.e 3.

3. How can I use the GCD of 480, 441, 948, 348Calculator?

Out the numbers 480, 441, 948, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.