GCD of 189, 857, 100, 117 Calculator

Given Input numbers are 189, 857, 100, 117

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (189, 857, 100, 117) = 1.

Given numbers are 189, 857, 100, 117

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 857 are 857

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

Prime factors of 117 are 3 x 3 x 13

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

Given numbers are 189, 857, 100, 117

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

Apply this formula for all numbers.

Step1:

LCM(189, 857) = 161973

GCD(189, 857) = ( 189 x 857 ) / 161973

= 189 / 857

= 189

Step2:

LCM(1, 100) = 100

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

= 1 / 100

= 1

Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1

So, Greatest Common Divisor of 189, 857, 100, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 363, 692, 887
• GCD of 110, 110, 241, 318
• GCD of 731, 125, 930, 734
• GCD of 561, 436, 613, 594
• GCD of 680, 128, 364, 679

Given numbers are 189, 857, 100, 117
The greatest common divisor of numbers 189, 857, 100, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 857, 100, 117 is 1.

1. What is the GCD of 189, 857, 100, 117?

GCD of given numbers 189, 857, 100, 117 is 1

2. How to calculate the greatest common divisor of 189, 857, 100, 117?

We can find the highest common divisor of 189, 857, 100, 117 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 189, 857, 100, 117 i.e 1.

3. How can I use the GCD of 189, 857, 100, 117Calculator?

Out the numbers 189, 857, 100, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.