GCD of 991, 759, 299, 916 Calculator

Given Input numbers are 991, 759, 299, 916

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (991, 759, 299, 916) = 1.

Given numbers are 991, 759, 299, 916

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 759 are 3 x 11 x 23

Prime factors of 299 are 13 x 23

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 991, 759, 299, 916

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

Apply this formula for all numbers.

Step1:

LCM(991, 759) = 752169

GCD(991, 759) = ( 991 x 759 ) / 752169

= 991 / 759

= 991

Step2:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 991, 759, 299, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 862, 487, 261
• GCD of 477, 966, 779, 920
• GCD of 612, 447, 387, 579
• GCD of 200, 883, 203, 631
• GCD of 960, 945, 505, 548

Given numbers are 991, 759, 299, 916
The greatest common divisor of numbers 991, 759, 299, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 759, 299, 916 is 1.

1. What is the GCD of 991, 759, 299, 916?

GCD of given numbers 991, 759, 299, 916 is 1

2. How to calculate the greatest common divisor of 991, 759, 299, 916?

We can find the highest common divisor of 991, 759, 299, 916 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 991, 759, 299, 916 i.e 1.

3. How can I use the GCD of 991, 759, 299, 916Calculator?

Out the numbers 991, 759, 299, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.