GCD of 289, 144, 149, 763 Calculator

Given Input numbers are 289, 144, 149, 763

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

GCD of numbers is the greatest common divisor

So, the GCD (289, 144, 149, 763) = 1.

Given numbers are 289, 144, 149, 763

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 149 are 149

Prime factors of 763 are 7 x 109

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

Given numbers are 289, 144, 149, 763

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

Apply this formula for all numbers.

Step1:

LCM(289, 144) = 41616

GCD(289, 144) = ( 289 x 144 ) / 41616

= 289 / 144

= 289

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

= 1 / 763

= 1

So, Greatest Common Divisor of 289, 144, 149, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 136, 184, 307
• GCD of 982, 569, 237, 785
• GCD of 157, 721, 752, 507
• GCD of 730, 665, 649, 515
• GCD of 631, 964, 483, 549

Given numbers are 289, 144, 149, 763
The greatest common divisor of numbers 289, 144, 149, 763 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 144, 149, 763 is 1.

1. What is the GCD of 289, 144, 149, 763?

GCD of given numbers 289, 144, 149, 763 is 1

2. How to calculate the greatest common divisor of 289, 144, 149, 763?

We can find the highest common divisor of 289, 144, 149, 763 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, 144, 149, 763 i.e 1.

3. How can I use the GCD of 289, 144, 149, 763Calculator?

Out the numbers 289, 144, 149, 763 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.