GCD of 675, 720, 446, 338 Calculator

Given Input numbers are 675, 720, 446, 338

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (675, 720, 446, 338) = 1.

Given numbers are 675, 720, 446, 338

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 446 are 2 x 223

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 675, 720, 446, 338

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

Apply this formula for all numbers.

Step1:

LCM(675, 720) = 10800

GCD(675, 720) = ( 675 x 720 ) / 10800

= 675 / 720

= 675

Step2:

LCM(45, 446) = 20070

GCD(45, 446) = ( 45 x 446 ) / 20070

= 45 / 446

= 45

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 675, 720, 446, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 467, 827, 684
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Given numbers are 675, 720, 446, 338
The greatest common divisor of numbers 675, 720, 446, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 720, 446, 338 is 1.

1. What is the GCD of 675, 720, 446, 338?

GCD of given numbers 675, 720, 446, 338 is 1

2. How to calculate the greatest common divisor of 675, 720, 446, 338?

We can find the highest common divisor of 675, 720, 446, 338 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 675, 720, 446, 338 i.e 1.

3. How can I use the GCD of 675, 720, 446, 338Calculator?

Out the numbers 675, 720, 446, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.