GCD of 987, 348, 829, 780 Calculator

Given Input numbers are 987, 348, 829, 780

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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 (987, 348, 829, 780) = 1.

Given numbers are 987, 348, 829, 780

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 829 are 829

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 987, 348, 829, 780

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

Apply this formula for all numbers.

Step1:

LCM(987, 348) = 114492

GCD(987, 348) = ( 987 x 348 ) / 114492

= 987 / 348

= 987

Step2:

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

= 3 / 829

= 3

Step3:

LCM(1, 780) = 780

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

= 1 / 780

= 1

So, Greatest Common Divisor of 987, 348, 829, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 830, 260, 280
• GCD of 977, 729, 142, 462
• GCD of 747, 655, 452, 756
• GCD of 276, 742, 209, 476
• GCD of 247, 400, 322, 946

Given numbers are 987, 348, 829, 780
The greatest common divisor of numbers 987, 348, 829, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 348, 829, 780 is 1.

1. What is the GCD of 987, 348, 829, 780?

GCD of given numbers 987, 348, 829, 780 is 1

2. How to calculate the greatest common divisor of 987, 348, 829, 780?

We can find the highest common divisor of 987, 348, 829, 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 987, 348, 829, 780 i.e 1.

3. How can I use the GCD of 987, 348, 829, 780Calculator?

Out the numbers 987, 348, 829, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.