GCD of 338, 466, 480, 739 Calculator

Given Input numbers are 338, 466, 480, 739

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

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 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (338, 466, 480, 739) = 1.

Given numbers are 338, 466, 480, 739

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 466 are 2 x 233

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

Prime factors of 739 are 739

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

Given numbers are 338, 466, 480, 739

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

Apply this formula for all numbers.

Step1:

LCM(338, 466) = 78754

GCD(338, 466) = ( 338 x 466 ) / 78754

= 338 / 466

= 338

Step2:

LCM(2, 480) = 480

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

= 2 / 480

= 2

Step3:

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

= 2 / 739

= 2

So, Greatest Common Divisor of 338, 466, 480, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 314, 535, 398
• GCD of 668, 197, 586, 356
• GCD of 219, 519, 226, 502
• GCD of 124, 948, 480, 608
• GCD of 705, 903, 430, 564

Given numbers are 338, 466, 480, 739
The greatest common divisor of numbers 338, 466, 480, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 466, 480, 739 is 1.

1. What is the GCD of 338, 466, 480, 739?

GCD of given numbers 338, 466, 480, 739 is 1

2. How to calculate the greatest common divisor of 338, 466, 480, 739?

We can find the highest common divisor of 338, 466, 480, 739 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 338, 466, 480, 739 i.e 1.

3. How can I use the GCD of 338, 466, 480, 739Calculator?

Out the numbers 338, 466, 480, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.