GCD of 289, 949, 148, 823 Calculator

Given Input numbers are 289, 949, 148, 823

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

Divisors of 289 :

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

1, 17, 289

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (289, 949, 148, 823) = 1.

Given numbers are 289, 949, 148, 823

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 949 are 13 x 73

Prime factors of 148 are 2 x 2 x 37

Prime factors of 823 are 823

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

Given numbers are 289, 949, 148, 823

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

Apply this formula for all numbers.

Step1:

LCM(289, 949) = 274261

GCD(289, 949) = ( 289 x 949 ) / 274261

= 289 / 949

= 289

Step2:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 289, 949, 148, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 262, 228, 105
• GCD of 174, 942, 780, 392
• GCD of 866, 266, 828, 269
• GCD of 432, 298, 757, 248
• GCD of 544, 959, 621, 386

Given numbers are 289, 949, 148, 823
The greatest common divisor of numbers 289, 949, 148, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 949, 148, 823 is 1.

1. What is the GCD of 289, 949, 148, 823?

GCD of given numbers 289, 949, 148, 823 is 1

2. How to calculate the greatest common divisor of 289, 949, 148, 823?

We can find the highest common divisor of 289, 949, 148, 823 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 289, 949, 148, 823 i.e 1.

3. How can I use the GCD of 289, 949, 148, 823Calculator?

Out the numbers 289, 949, 148, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.