GCD of 289, 300, 703, 961 Calculator

Given Input numbers are 289, 300, 703, 961

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (289, 300, 703, 961) = 1.

Given numbers are 289, 300, 703, 961

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 703 are 19 x 37

Prime factors of 961 are 31 x 31

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

Given numbers are 289, 300, 703, 961

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

Apply this formula for all numbers.

Step1:

LCM(289, 300) = 86700

GCD(289, 300) = ( 289 x 300 ) / 86700

= 289 / 300

= 289

Step2:

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

= 1 / 703

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 289, 300, 703, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 375, 883, 414
• GCD of 213, 974, 983, 103
• GCD of 745, 304, 679, 909
• GCD of 281, 761, 890, 612
• GCD of 212, 144, 640, 720

Given numbers are 289, 300, 703, 961
The greatest common divisor of numbers 289, 300, 703, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 300, 703, 961 is 1.

1. What is the GCD of 289, 300, 703, 961?

GCD of given numbers 289, 300, 703, 961 is 1

2. How to calculate the greatest common divisor of 289, 300, 703, 961?

We can find the highest common divisor of 289, 300, 703, 961 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, 300, 703, 961 i.e 1.

3. How can I use the GCD of 289, 300, 703, 961Calculator?

Out the numbers 289, 300, 703, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.