GCD of 789, 702, 447, 976 Calculator

Given Input numbers are 789, 702, 447, 976

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (789, 702, 447, 976) = 1.

Given numbers are 789, 702, 447, 976

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 447 are 3 x 149

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Given numbers are 789, 702, 447, 976

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

Apply this formula for all numbers.

Step1:

LCM(789, 702) = 184626

GCD(789, 702) = ( 789 x 702 ) / 184626

= 789 / 702

= 789

Step2:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3

Step3:

LCM(3, 976) = 2928

GCD(3, 976) = ( 3 x 976 ) / 2928

= 3 / 976

= 3

So, Greatest Common Divisor of 789, 702, 447, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 710, 475, 424
• GCD of 492, 991, 400, 544
• GCD of 236, 821, 283, 643
• GCD of 230, 652, 809, 991
• GCD of 507, 373, 342, 863

Given numbers are 789, 702, 447, 976
The greatest common divisor of numbers 789, 702, 447, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 702, 447, 976 is 1.

1. What is the GCD of 789, 702, 447, 976?

GCD of given numbers 789, 702, 447, 976 is 1

2. How to calculate the greatest common divisor of 789, 702, 447, 976?

We can find the highest common divisor of 789, 702, 447, 976 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, 702, 447, 976 i.e 1.

3. How can I use the GCD of 789, 702, 447, 976Calculator?

Out the numbers 789, 702, 447, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.