GCD of 100, 268, 353, 389 Calculator

Given Input numbers are 100, 268, 353, 389

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

GCD of numbers is the greatest common divisor

So, the GCD (100, 268, 353, 389) = 1.

Given numbers are 100, 268, 353, 389

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 268 are 2 x 2 x 67

Prime factors of 353 are 353

Prime factors of 389 are 389

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

Given numbers are 100, 268, 353, 389

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

Apply this formula for all numbers.

Step1:

LCM(100, 268) = 6700

GCD(100, 268) = ( 100 x 268 ) / 6700

= 100 / 268

= 100

Step2:

LCM(4, 353) = 1412

GCD(4, 353) = ( 4 x 353 ) / 1412

= 4 / 353

= 4

Step3:

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

= 1 / 389

= 1

So, Greatest Common Divisor of 100, 268, 353, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 104, 175, 398
• GCD of 625, 876, 248, 644
• GCD of 103, 228, 916, 720
• GCD of 108, 208, 446, 886
• GCD of 325, 173, 740, 950

Given numbers are 100, 268, 353, 389
The greatest common divisor of numbers 100, 268, 353, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 268, 353, 389 is 1.

1. What is the GCD of 100, 268, 353, 389?

GCD of given numbers 100, 268, 353, 389 is 1

2. How to calculate the greatest common divisor of 100, 268, 353, 389?

We can find the highest common divisor of 100, 268, 353, 389 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 100, 268, 353, 389 i.e 1.

3. How can I use the GCD of 100, 268, 353, 389Calculator?

Out the numbers 100, 268, 353, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.