GCD of 100, 691, 825, 684 Calculator

Given Input numbers are 100, 691, 825, 684

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 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (100, 691, 825, 684) = 1.

Given numbers are 100, 691, 825, 684

The list of prime factors of all numbers are

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

Prime factors of 691 are 691

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 100, 691, 825, 684

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

Apply this formula for all numbers.

Step1:

LCM(100, 691) = 69100

GCD(100, 691) = ( 100 x 691 ) / 69100

= 100 / 691

= 100

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 100, 691, 825, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 930, 801, 519
• GCD of 629, 756, 847, 489
• GCD of 832, 524, 109, 230
• GCD of 817, 711, 595, 769
• GCD of 858, 712, 643, 475

Given numbers are 100, 691, 825, 684
The greatest common divisor of numbers 100, 691, 825, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 691, 825, 684 is 1.

1. What is the GCD of 100, 691, 825, 684?

GCD of given numbers 100, 691, 825, 684 is 1

2. How to calculate the greatest common divisor of 100, 691, 825, 684?

We can find the highest common divisor of 100, 691, 825, 684 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, 691, 825, 684 i.e 1.

3. How can I use the GCD of 100, 691, 825, 684Calculator?

Out the numbers 100, 691, 825, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.