GCD of 916, 731, 709, 165 Calculator

Given Input numbers are 916, 731, 709, 165

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (916, 731, 709, 165) = 1.

Given numbers are 916, 731, 709, 165

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 731 are 17 x 43

Prime factors of 709 are 709

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 916, 731, 709, 165

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

Apply this formula for all numbers.

Step1:

LCM(916, 731) = 669596

GCD(916, 731) = ( 916 x 731 ) / 669596

= 916 / 731

= 916

Step2:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 916, 731, 709, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 626, 310, 571
• GCD of 449, 121, 153, 521
• GCD of 426, 248, 235, 242
• GCD of 592, 325, 841, 851
• GCD of 653, 766, 376, 946

Given numbers are 916, 731, 709, 165
The greatest common divisor of numbers 916, 731, 709, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 731, 709, 165 is 1.

1. What is the GCD of 916, 731, 709, 165?

GCD of given numbers 916, 731, 709, 165 is 1

2. How to calculate the greatest common divisor of 916, 731, 709, 165?

We can find the highest common divisor of 916, 731, 709, 165 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, 731, 709, 165 i.e 1.

3. How can I use the GCD of 916, 731, 709, 165Calculator?

Out the numbers 916, 731, 709, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.