GCD of 198, 870, 77, 869 Calculator

Given Input numbers are 198, 870, 77, 869

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (198, 870, 77, 869) = 1.

Given numbers are 198, 870, 77, 869

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 77 are 7 x 11

Prime factors of 869 are 11 x 79

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

Given numbers are 198, 870, 77, 869

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

Apply this formula for all numbers.

Step1:

LCM(198, 870) = 28710

GCD(198, 870) = ( 198 x 870 ) / 28710

= 198 / 870

= 198

Step2:

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

= 6 / 77

= 6

Step3:

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

= 1 / 869

= 1

So, Greatest Common Divisor of 198, 870, 77, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 182, 53, 566
• GCD of 141, 319, 31, 474
• GCD of 857, 689, 91, 372
• GCD of 559, 726, 38, 778
• GCD of 222, 707, 39, 130

Given numbers are 198, 870, 77, 869
The greatest common divisor of numbers 198, 870, 77, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 870, 77, 869 is 1.

1. What is the GCD of 198, 870, 77, 869?

GCD of given numbers 198, 870, 77, 869 is 1

2. How to calculate the greatest common divisor of 198, 870, 77, 869?

We can find the highest common divisor of 198, 870, 77, 869 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 198, 870, 77, 869 i.e 1.

3. How can I use the GCD of 198, 870, 77, 869Calculator?

Out the numbers 198, 870, 77, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.