GCD of 979, 828, 720, 105 Calculator

Given Input numbers are 979, 828, 720, 105

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 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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (979, 828, 720, 105) = 1.

Given numbers are 979, 828, 720, 105

The list of prime factors of all numbers are

Prime factors of 979 are 11 x 89

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 979, 828, 720, 105

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

Apply this formula for all numbers.

Step1:

LCM(979, 828) = 810612

GCD(979, 828) = ( 979 x 828 ) / 810612

= 979 / 828

= 979

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 979, 828, 720, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 235, 988, 143
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Given numbers are 979, 828, 720, 105
The greatest common divisor of numbers 979, 828, 720, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 979, 828, 720, 105 is 1.

1. What is the GCD of 979, 828, 720, 105?

GCD of given numbers 979, 828, 720, 105 is 1

2. How to calculate the greatest common divisor of 979, 828, 720, 105?

We can find the highest common divisor of 979, 828, 720, 105 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, 828, 720, 105 i.e 1.

3. How can I use the GCD of 979, 828, 720, 105Calculator?

Out the numbers 979, 828, 720, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.