GCD of 979, 680, 714, 828 Calculator

Given Input numbers are 979, 680, 714, 828

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

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (979, 680, 714, 828) = 1.

Given numbers are 979, 680, 714, 828

The list of prime factors of all numbers are

Prime factors of 979 are 11 x 89

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 979, 680, 714, 828

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

Apply this formula for all numbers.

Step1:

LCM(979, 680) = 665720

GCD(979, 680) = ( 979 x 680 ) / 665720

= 979 / 680

= 979

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 979, 680, 714, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 578, 157, 550
• GCD of 203, 277, 202, 593
• GCD of 122, 443, 819, 370
• GCD of 553, 225, 667, 748
• GCD of 749, 135, 128, 706

Given numbers are 979, 680, 714, 828
The greatest common divisor of numbers 979, 680, 714, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 979, 680, 714, 828 is 1.

1. What is the GCD of 979, 680, 714, 828?

GCD of given numbers 979, 680, 714, 828 is 1

2. How to calculate the greatest common divisor of 979, 680, 714, 828?

We can find the highest common divisor of 979, 680, 714, 828 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 979, 680, 714, 828 i.e 1.

3. How can I use the GCD of 979, 680, 714, 828Calculator?

Out the numbers 979, 680, 714, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.