GCD of 782, 680, 987, 969 Calculator

Given Input numbers are 782, 680, 987, 969

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 987 :

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

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (782, 680, 987, 969) = 1.

Given numbers are 782, 680, 987, 969

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 987 are 3 x 7 x 47

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 782, 680, 987, 969

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

Apply this formula for all numbers.

Step1:

LCM(782, 680) = 15640

GCD(782, 680) = ( 782 x 680 ) / 15640

= 782 / 680

= 782

Step2:

LCM(34, 987) = 33558

GCD(34, 987) = ( 34 x 987 ) / 33558

= 34 / 987

= 34

Step3:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

So, Greatest Common Divisor of 782, 680, 987, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 513, 448, 191
• GCD of 601, 128, 432, 826
• GCD of 396, 646, 377, 353
• GCD of 270, 186, 766, 175
• GCD of 668, 853, 194, 415

Given numbers are 782, 680, 987, 969
The greatest common divisor of numbers 782, 680, 987, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 680, 987, 969 is 1.

1. What is the GCD of 782, 680, 987, 969?

GCD of given numbers 782, 680, 987, 969 is 1

2. How to calculate the greatest common divisor of 782, 680, 987, 969?

We can find the highest common divisor of 782, 680, 987, 969 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 782, 680, 987, 969 i.e 1.

3. How can I use the GCD of 782, 680, 987, 969Calculator?

Out the numbers 782, 680, 987, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.