GCD of 100, 427, 291, 689 Calculator

Given Input numbers are 100, 427, 291, 689

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (100, 427, 291, 689) = 1.

Given numbers are 100, 427, 291, 689

The list of prime factors of all numbers are

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

Prime factors of 427 are 7 x 61

Prime factors of 291 are 3 x 97

Prime factors of 689 are 13 x 53

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

Given numbers are 100, 427, 291, 689

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

Apply this formula for all numbers.

Step1:

LCM(100, 427) = 42700

GCD(100, 427) = ( 100 x 427 ) / 42700

= 100 / 427

= 100

Step2:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 100, 427, 291, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 905, 824, 363
• GCD of 177, 893, 101, 606
• GCD of 222, 334, 750, 880
• GCD of 104, 731, 232, 854
• GCD of 781, 163, 828, 466

Given numbers are 100, 427, 291, 689
The greatest common divisor of numbers 100, 427, 291, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 427, 291, 689 is 1.

1. What is the GCD of 100, 427, 291, 689?

GCD of given numbers 100, 427, 291, 689 is 1

2. How to calculate the greatest common divisor of 100, 427, 291, 689?

We can find the highest common divisor of 100, 427, 291, 689 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, 427, 291, 689 i.e 1.

3. How can I use the GCD of 100, 427, 291, 689Calculator?

Out the numbers 100, 427, 291, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.