GCD of 100, 385, 109, 491 Calculator

Given Input numbers are 100, 385, 109, 491

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (100, 385, 109, 491) = 1.

Given numbers are 100, 385, 109, 491

The list of prime factors of all numbers are

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

Prime factors of 385 are 5 x 7 x 11

Prime factors of 109 are 109

Prime factors of 491 are 491

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

Given numbers are 100, 385, 109, 491

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

Apply this formula for all numbers.

Step1:

LCM(100, 385) = 7700

GCD(100, 385) = ( 100 x 385 ) / 7700

= 100 / 385

= 100

Step2:

LCM(5, 109) = 545

GCD(5, 109) = ( 5 x 109 ) / 545

= 5 / 109

= 5

Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

So, Greatest Common Divisor of 100, 385, 109, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 310, 661, 753
• GCD of 509, 208, 782, 512
• GCD of 611, 679, 150, 520
• GCD of 823, 865, 729, 329
• GCD of 475, 506, 545, 702

Given numbers are 100, 385, 109, 491
The greatest common divisor of numbers 100, 385, 109, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 385, 109, 491 is 1.

1. What is the GCD of 100, 385, 109, 491?

GCD of given numbers 100, 385, 109, 491 is 1

2. How to calculate the greatest common divisor of 100, 385, 109, 491?

We can find the highest common divisor of 100, 385, 109, 491 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, 385, 109, 491 i.e 1.

3. How can I use the GCD of 100, 385, 109, 491Calculator?

Out the numbers 100, 385, 109, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.