GCD of 978, 782, 809, 980 Calculator

Given Input numbers are 978, 782, 809, 980

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

Divisors of 978 :

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

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

Divisors of 782 :

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

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (978, 782, 809, 980) = 1.

Given numbers are 978, 782, 809, 980

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 782 are 2 x 17 x 23

Prime factors of 809 are 809

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 978, 782, 809, 980

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

Apply this formula for all numbers.

Step1:

LCM(978, 782) = 382398

GCD(978, 782) = ( 978 x 782 ) / 382398

= 978 / 782

= 978

Step2:

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

= 2 / 809

= 2

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 978, 782, 809, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 998, 652, 123
• GCD of 457, 230, 213, 696
• GCD of 891, 132, 722, 527
• GCD of 514, 557, 850, 203
• GCD of 954, 787, 108, 494

Given numbers are 978, 782, 809, 980
The greatest common divisor of numbers 978, 782, 809, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 782, 809, 980 is 1.

1. What is the GCD of 978, 782, 809, 980?

GCD of given numbers 978, 782, 809, 980 is 1

2. How to calculate the greatest common divisor of 978, 782, 809, 980?

We can find the highest common divisor of 978, 782, 809, 980 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 978, 782, 809, 980 i.e 1.

3. How can I use the GCD of 978, 782, 809, 980Calculator?

Out the numbers 978, 782, 809, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.