GCD of 789, 462, 100, 356 Calculator

Given Input numbers are 789, 462, 100, 356

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (789, 462, 100, 356) = 1.

Given numbers are 789, 462, 100, 356

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 462 are 2 x 3 x 7 x 11

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

Prime factors of 356 are 2 x 2 x 89

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

Given numbers are 789, 462, 100, 356

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

Apply this formula for all numbers.

Step1:

LCM(789, 462) = 121506

GCD(789, 462) = ( 789 x 462 ) / 121506

= 789 / 462

= 789

Step2:

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

= 3 / 100

= 3

Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

So, Greatest Common Divisor of 789, 462, 100, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 369, 438, 955
• GCD of 904, 733, 941, 502
• GCD of 940, 639, 263, 410
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• GCD of 230, 510, 756, 898

Given numbers are 789, 462, 100, 356
The greatest common divisor of numbers 789, 462, 100, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 462, 100, 356 is 1.

1. What is the GCD of 789, 462, 100, 356?

GCD of given numbers 789, 462, 100, 356 is 1

2. How to calculate the greatest common divisor of 789, 462, 100, 356?

We can find the highest common divisor of 789, 462, 100, 356 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, 462, 100, 356 i.e 1.

3. How can I use the GCD of 789, 462, 100, 356Calculator?

Out the numbers 789, 462, 100, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.