GCD of 789, 920, 209, 978 Calculator

Given Input numbers are 789, 920, 209, 978

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (789, 920, 209, 978) = 1.

Given numbers are 789, 920, 209, 978

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 209 are 11 x 19

Prime factors of 978 are 2 x 3 x 163

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

Given numbers are 789, 920, 209, 978

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

Apply this formula for all numbers.

Step1:

LCM(789, 920) = 725880

GCD(789, 920) = ( 789 x 920 ) / 725880

= 789 / 920

= 789

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 789, 920, 209, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 351, 369, 759
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Given numbers are 789, 920, 209, 978
The greatest common divisor of numbers 789, 920, 209, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 920, 209, 978 is 1.

1. What is the GCD of 789, 920, 209, 978?

GCD of given numbers 789, 920, 209, 978 is 1

2. How to calculate the greatest common divisor of 789, 920, 209, 978?

We can find the highest common divisor of 789, 920, 209, 978 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 789, 920, 209, 978 i.e 1.

3. How can I use the GCD of 789, 920, 209, 978Calculator?

Out the numbers 789, 920, 209, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.