GCD of 480, 741, 338, 267 Calculator

Given Input numbers are 480, 741, 338, 267

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (480, 741, 338, 267) = 1.

Given numbers are 480, 741, 338, 267

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 741 are 3 x 13 x 19

Prime factors of 338 are 2 x 13 x 13

Prime factors of 267 are 3 x 89

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 741, 338, 267

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

Apply this formula for all numbers.

Step1:

LCM(480, 741) = 118560

GCD(480, 741) = ( 480 x 741 ) / 118560

= 480 / 741

= 480

Step2:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

Step3:

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

= 1 / 267

= 1

So, Greatest Common Divisor of 480, 741, 338, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 810, 107, 892
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Given numbers are 480, 741, 338, 267
The greatest common divisor of numbers 480, 741, 338, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 741, 338, 267 is 1.

1. What is the GCD of 480, 741, 338, 267?

GCD of given numbers 480, 741, 338, 267 is 1

2. How to calculate the greatest common divisor of 480, 741, 338, 267?

We can find the highest common divisor of 480, 741, 338, 267 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, 741, 338, 267 i.e 1.

3. How can I use the GCD of 480, 741, 338, 267Calculator?

Out the numbers 480, 741, 338, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.