GCD of 789, 100, 196 Calculator

Given Input numbers are 789, 100, 196

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (789, 100, 196) = 1.

Given numbers are 789, 100, 196

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

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

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 789, 100, 196

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

Apply this formula for all numbers.

Step1:

LCM(789, 100) = 78900

GCD(789, 100) = ( 789 x 100 ) / 78900

= 789 / 100

= 789

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 789, 100, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 730, 570
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• GCD of 720, 537, 584
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Given numbers are 789, 100, 196
The greatest common divisor of numbers 789, 100, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 100, 196 is 1.

1. What is the GCD of 789, 100, 196?

GCD of given numbers 789, 100, 196 is 1

2. How to calculate the greatest common divisor of 789, 100, 196?

We can find the highest common divisor of 789, 100, 196 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 789, 100, 196 i.e 1.

3. How can I use the GCD of 789, 100, 196Calculator?

Out the numbers 789, 100, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.