GCD of 289, 971, 35, 960 Calculator

Given Input numbers are 289, 971, 35, 960

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (289, 971, 35, 960) = 1.

Given numbers are 289, 971, 35, 960

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 971 are 971

Prime factors of 35 are 5 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 289, 971, 35, 960

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

Apply this formula for all numbers.

Step1:

LCM(289, 971) = 280619

GCD(289, 971) = ( 289 x 971 ) / 280619

= 289 / 971

= 289

Step2:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 289, 971, 35, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 483, 95, 477
• GCD of 654, 124, 42, 233
• GCD of 158, 172, 46, 952
• GCD of 614, 858, 74, 695
• GCD of 446, 221, 90, 420

Given numbers are 289, 971, 35, 960
The greatest common divisor of numbers 289, 971, 35, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 971, 35, 960 is 1.

1. What is the GCD of 289, 971, 35, 960?

GCD of given numbers 289, 971, 35, 960 is 1

2. How to calculate the greatest common divisor of 289, 971, 35, 960?

We can find the highest common divisor of 289, 971, 35, 960 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, 971, 35, 960 i.e 1.

3. How can I use the GCD of 289, 971, 35, 960Calculator?

Out the numbers 289, 971, 35, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.