GCD of 876, 198, 105, 965 Calculator

Given Input numbers are 876, 198, 105, 965

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 105 :

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

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (876, 198, 105, 965) = 1.

Given numbers are 876, 198, 105, 965

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 965 are 5 x 193

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

Given numbers are 876, 198, 105, 965

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

Apply this formula for all numbers.

Step1:

LCM(876, 198) = 28908

GCD(876, 198) = ( 876 x 198 ) / 28908

= 876 / 198

= 876

Step2:

LCM(6, 105) = 210

GCD(6, 105) = ( 6 x 105 ) / 210

= 6 / 105

= 6

Step3:

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

= 3 / 965

= 3

So, Greatest Common Divisor of 876, 198, 105, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 167, 857, 233
• GCD of 938, 728, 472, 908
• GCD of 409, 665, 265, 896
• GCD of 386, 835, 444, 291
• GCD of 688, 840, 863, 385

Given numbers are 876, 198, 105, 965
The greatest common divisor of numbers 876, 198, 105, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 198, 105, 965 is 1.

1. What is the GCD of 876, 198, 105, 965?

GCD of given numbers 876, 198, 105, 965 is 1

2. How to calculate the greatest common divisor of 876, 198, 105, 965?

We can find the highest common divisor of 876, 198, 105, 965 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 876, 198, 105, 965 i.e 1.

3. How can I use the GCD of 876, 198, 105, 965Calculator?

Out the numbers 876, 198, 105, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.