GCD of 338, 480, 70, 195 Calculator

Given Input numbers are 338, 480, 70, 195

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 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 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

GCD of numbers is the greatest common divisor

So, the GCD (338, 480, 70, 195) = 1.

Given numbers are 338, 480, 70, 195

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 70 are 2 x 5 x 7

Prime factors of 195 are 3 x 5 x 13

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

Given numbers are 338, 480, 70, 195

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

Apply this formula for all numbers.

Step1:

LCM(338, 480) = 81120

GCD(338, 480) = ( 338 x 480 ) / 81120

= 338 / 480

= 338

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

= 2 / 195

= 2

So, Greatest Common Divisor of 338, 480, 70, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 951, 60, 462
• GCD of 704, 871, 88, 367
• GCD of 839, 261, 17, 551
• GCD of 629, 946, 66, 897
• GCD of 830, 478, 60, 707

Given numbers are 338, 480, 70, 195
The greatest common divisor of numbers 338, 480, 70, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 480, 70, 195 is 1.

1. What is the GCD of 338, 480, 70, 195?

GCD of given numbers 338, 480, 70, 195 is 1

2. How to calculate the greatest common divisor of 338, 480, 70, 195?

We can find the highest common divisor of 338, 480, 70, 195 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, 480, 70, 195 i.e 1.

3. How can I use the GCD of 338, 480, 70, 195Calculator?

Out the numbers 338, 480, 70, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.