GCD of 106, 268, 202, 187 Calculator

Given Input numbers are 106, 268, 202, 187

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

GCD of numbers is the greatest common divisor

So, the GCD (106, 268, 202, 187) = 1.

Given numbers are 106, 268, 202, 187

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 268 are 2 x 2 x 67

Prime factors of 202 are 2 x 101

Prime factors of 187 are 11 x 17

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

Given numbers are 106, 268, 202, 187

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

Apply this formula for all numbers.

Step1:

LCM(106, 268) = 14204

GCD(106, 268) = ( 106 x 268 ) / 14204

= 106 / 268

= 106

Step2:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

Step3:

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

= 2 / 187

= 2

So, Greatest Common Divisor of 106, 268, 202, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 899, 945, 126
• GCD of 712, 674, 863, 558
• GCD of 261, 548, 698, 812
• GCD of 430, 665, 664, 698
• GCD of 462, 887, 540, 631

Given numbers are 106, 268, 202, 187
The greatest common divisor of numbers 106, 268, 202, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 268, 202, 187 is 1.

1. What is the GCD of 106, 268, 202, 187?

GCD of given numbers 106, 268, 202, 187 is 1

2. How to calculate the greatest common divisor of 106, 268, 202, 187?

We can find the highest common divisor of 106, 268, 202, 187 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 106, 268, 202, 187 i.e 1.

3. How can I use the GCD of 106, 268, 202, 187Calculator?

Out the numbers 106, 268, 202, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.