GCD of 107, 200, 190, 264 Calculator

Given Input numbers are 107, 200, 190, 264

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (107, 200, 190, 264) = 1.

Given numbers are 107, 200, 190, 264

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 190 are 2 x 5 x 19

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 107, 200, 190, 264

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

Apply this formula for all numbers.

Step1:

LCM(107, 200) = 21400

GCD(107, 200) = ( 107 x 200 ) / 21400

= 107 / 200

= 107

Step2:

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

= 1 / 190

= 1

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 107, 200, 190, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 741, 631, 184
• GCD of 949, 281, 803, 648
• GCD of 781, 458, 935, 764
• GCD of 388, 861, 755, 322
• GCD of 714, 854, 237, 716

Given numbers are 107, 200, 190, 264
The greatest common divisor of numbers 107, 200, 190, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 200, 190, 264 is 1.

1. What is the GCD of 107, 200, 190, 264?

GCD of given numbers 107, 200, 190, 264 is 1

2. How to calculate the greatest common divisor of 107, 200, 190, 264?

We can find the highest common divisor of 107, 200, 190, 264 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 107, 200, 190, 264 i.e 1.

3. How can I use the GCD of 107, 200, 190, 264Calculator?

Out the numbers 107, 200, 190, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.