GCD of 307, 108, 170, 400 Calculator

Given Input numbers are 307, 108, 170, 400

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

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (307, 108, 170, 400) = 1.

Given numbers are 307, 108, 170, 400

The list of prime factors of all numbers are

Prime factors of 307 are 307

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 170 are 2 x 5 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 307, 108, 170, 400

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

Apply this formula for all numbers.

Step1:

LCM(307, 108) = 33156

GCD(307, 108) = ( 307 x 108 ) / 33156

= 307 / 108

= 307

Step2:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 307, 108, 170, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 382, 885, 748
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• GCD of 579, 410, 489, 143
• GCD of 684, 894, 663, 685
• GCD of 233, 403, 242, 785

Given numbers are 307, 108, 170, 400
The greatest common divisor of numbers 307, 108, 170, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 108, 170, 400 is 1.

1. What is the GCD of 307, 108, 170, 400?

GCD of given numbers 307, 108, 170, 400 is 1

2. How to calculate the greatest common divisor of 307, 108, 170, 400?

We can find the highest common divisor of 307, 108, 170, 400 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 307, 108, 170, 400 i.e 1.

3. How can I use the GCD of 307, 108, 170, 400Calculator?

Out the numbers 307, 108, 170, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.