GCD of 872, 968, 289, 298 Calculator

Given Input numbers are 872, 968, 289, 298

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (872, 968, 289, 298) = 1.

Given numbers are 872, 968, 289, 298

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 289 are 17 x 17

Prime factors of 298 are 2 x 149

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

Given numbers are 872, 968, 289, 298

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

Apply this formula for all numbers.

Step1:

LCM(872, 968) = 105512

GCD(872, 968) = ( 872 x 968 ) / 105512

= 872 / 968

= 872

Step2:

LCM(8, 289) = 2312

GCD(8, 289) = ( 8 x 289 ) / 2312

= 8 / 289

= 8

Step3:

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

= 1 / 298

= 1

So, Greatest Common Divisor of 872, 968, 289, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 824, 119, 942
• GCD of 426, 798, 115, 910
• GCD of 816, 874, 330, 911
• GCD of 998, 607, 572, 852
• GCD of 678, 300, 652, 216

Given numbers are 872, 968, 289, 298
The greatest common divisor of numbers 872, 968, 289, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 968, 289, 298 is 1.

1. What is the GCD of 872, 968, 289, 298?

GCD of given numbers 872, 968, 289, 298 is 1

2. How to calculate the greatest common divisor of 872, 968, 289, 298?

We can find the highest common divisor of 872, 968, 289, 298 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 872, 968, 289, 298 i.e 1.

3. How can I use the GCD of 872, 968, 289, 298Calculator?

Out the numbers 872, 968, 289, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.