GCD of 916, 706, 144, 971 Calculator

Given Input numbers are 916, 706, 144, 971

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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 971 :

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

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (916, 706, 144, 971) = 1.

Given numbers are 916, 706, 144, 971

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 706 are 2 x 353

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

Prime factors of 971 are 971

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

Given numbers are 916, 706, 144, 971

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

Apply this formula for all numbers.

Step1:

LCM(916, 706) = 323348

GCD(916, 706) = ( 916 x 706 ) / 323348

= 916 / 706

= 916

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 916, 706, 144, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 990, 814, 361
• GCD of 807, 790, 804, 102
• GCD of 554, 331, 838, 264
• GCD of 893, 691, 569, 993
• GCD of 402, 199, 386, 398

Given numbers are 916, 706, 144, 971
The greatest common divisor of numbers 916, 706, 144, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 706, 144, 971 is 1.

1. What is the GCD of 916, 706, 144, 971?

GCD of given numbers 916, 706, 144, 971 is 1

2. How to calculate the greatest common divisor of 916, 706, 144, 971?

We can find the highest common divisor of 916, 706, 144, 971 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 916, 706, 144, 971 i.e 1.

3. How can I use the GCD of 916, 706, 144, 971Calculator?

Out the numbers 916, 706, 144, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.