GCD of 119, 697, 696, 100 Calculator

Given Input numbers are 119, 697, 696, 100

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

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (119, 697, 696, 100) = 1.

Given numbers are 119, 697, 696, 100

The list of prime factors of all numbers are

Prime factors of 119 are 7 x 17

Prime factors of 697 are 17 x 41

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

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

Given numbers are 119, 697, 696, 100

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

Apply this formula for all numbers.

Step1:

LCM(119, 697) = 4879

GCD(119, 697) = ( 119 x 697 ) / 4879

= 119 / 697

= 119

Step2:

LCM(17, 696) = 11832

GCD(17, 696) = ( 17 x 696 ) / 11832

= 17 / 696

= 17

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 119, 697, 696, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 429, 144, 101
• GCD of 543, 488, 180, 425
• GCD of 682, 833, 131, 379
• GCD of 859, 847, 281, 676
• GCD of 643, 959, 752, 210

Given numbers are 119, 697, 696, 100
The greatest common divisor of numbers 119, 697, 696, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 697, 696, 100 is 1.

1. What is the GCD of 119, 697, 696, 100?

GCD of given numbers 119, 697, 696, 100 is 1

2. How to calculate the greatest common divisor of 119, 697, 696, 100?

We can find the highest common divisor of 119, 697, 696, 100 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 119, 697, 696, 100 i.e 1.

3. How can I use the GCD of 119, 697, 696, 100Calculator?

Out the numbers 119, 697, 696, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.