GCD of 208, 147, 675, 398 Calculator

Given Input numbers are 208, 147, 675, 398

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (208, 147, 675, 398) = 1.

Given numbers are 208, 147, 675, 398

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 398 are 2 x 199

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

Given numbers are 208, 147, 675, 398

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

Apply this formula for all numbers.

Step1:

LCM(208, 147) = 30576

GCD(208, 147) = ( 208 x 147 ) / 30576

= 208 / 147

= 208

Step2:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 208, 147, 675, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 338, 336, 670
• GCD of 899, 891, 104, 224
• GCD of 257, 523, 507, 396
• GCD of 115, 414, 222, 764
• GCD of 253, 263, 319, 657

Given numbers are 208, 147, 675, 398
The greatest common divisor of numbers 208, 147, 675, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 147, 675, 398 is 1.

1. What is the GCD of 208, 147, 675, 398?

GCD of given numbers 208, 147, 675, 398 is 1

2. How to calculate the greatest common divisor of 208, 147, 675, 398?

We can find the highest common divisor of 208, 147, 675, 398 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 208, 147, 675, 398 i.e 1.

3. How can I use the GCD of 208, 147, 675, 398Calculator?

Out the numbers 208, 147, 675, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.