GCD of 967, 400, 789, 780 Calculator

Given Input numbers are 967, 400, 789, 780

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

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (967, 400, 789, 780) = 1.

Given numbers are 967, 400, 789, 780

The list of prime factors of all numbers are

Prime factors of 967 are 967

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 789 are 3 x 263

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Given numbers are 967, 400, 789, 780

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

Apply this formula for all numbers.

Step1:

LCM(967, 400) = 386800

GCD(967, 400) = ( 967 x 400 ) / 386800

= 967 / 400

= 967

Step2:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

So, Greatest Common Divisor of 967, 400, 789, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 237, 151, 834
• GCD of 794, 267, 442, 919
• GCD of 264, 478, 983, 505
• GCD of 886, 723, 297, 184
• GCD of 593, 660, 197, 183

Given numbers are 967, 400, 789, 780
The greatest common divisor of numbers 967, 400, 789, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 400, 789, 780 is 1.

1. What is the GCD of 967, 400, 789, 780?

GCD of given numbers 967, 400, 789, 780 is 1

2. How to calculate the greatest common divisor of 967, 400, 789, 780?

We can find the highest common divisor of 967, 400, 789, 780 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 967, 400, 789, 780 i.e 1.

3. How can I use the GCD of 967, 400, 789, 780Calculator?

Out the numbers 967, 400, 789, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.