GCD of 289, 387, 916, 802 Calculator

Given Input numbers are 289, 387, 916, 802

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (289, 387, 916, 802) = 1.

Given numbers are 289, 387, 916, 802

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 387 are 3 x 3 x 43

Prime factors of 916 are 2 x 2 x 229

Prime factors of 802 are 2 x 401

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

Given numbers are 289, 387, 916, 802

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

Apply this formula for all numbers.

Step1:

LCM(289, 387) = 111843

GCD(289, 387) = ( 289 x 387 ) / 111843

= 289 / 387

= 289

Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

Step3:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

So, Greatest Common Divisor of 289, 387, 916, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 375, 359, 613
• GCD of 163, 784, 962, 780
• GCD of 915, 192, 271, 712
• GCD of 169, 224, 773, 501
• GCD of 560, 245, 425, 278

Given numbers are 289, 387, 916, 802
The greatest common divisor of numbers 289, 387, 916, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 387, 916, 802 is 1.

1. What is the GCD of 289, 387, 916, 802?

GCD of given numbers 289, 387, 916, 802 is 1

2. How to calculate the greatest common divisor of 289, 387, 916, 802?

We can find the highest common divisor of 289, 387, 916, 802 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, 387, 916, 802 i.e 1.

3. How can I use the GCD of 289, 387, 916, 802Calculator?

Out the numbers 289, 387, 916, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.