GCD of 798, 861, 777, 392 Calculator

Given Input numbers are 798, 861, 777, 392

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (798, 861, 777, 392) = 7.

Given numbers are 798, 861, 777, 392

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 861 are 3 x 7 x 41

Prime factors of 777 are 3 x 7 x 37

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 798, 861, 777, 392 is 7.

Given numbers are 798, 861, 777, 392

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

Apply this formula for all numbers.

Step1:

LCM(798, 861) = 32718

GCD(798, 861) = ( 798 x 861 ) / 32718

= 798 / 861

= 798

Step2:

LCM(21, 777) = 777

GCD(21, 777) = ( 21 x 777 ) / 777

= 21 / 777

= 21

Step3:

LCM(21, 392) = 1176

GCD(21, 392) = ( 21 x 392 ) / 1176

= 21 / 392

= 21

So, Greatest Common Divisor of 798, 861, 777, 392 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 784, 993, 182
• GCD of 746, 379, 683, 798
• GCD of 309, 131, 523, 688
• GCD of 926, 238, 971, 202
• GCD of 615, 135, 496, 105

Given numbers are 798, 861, 777, 392
The greatest common divisor of numbers 798, 861, 777, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 861, 777, 392 is 7.

1. What is the GCD of 798, 861, 777, 392?

GCD of given numbers 798, 861, 777, 392 is 7

2. How to calculate the greatest common divisor of 798, 861, 777, 392?

We can find the highest common divisor of 798, 861, 777, 392 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 798, 861, 777, 392 i.e 7.

3. How can I use the GCD of 798, 861, 777, 392Calculator?

Out the numbers 798, 861, 777, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.