GCD of 996, 785, 791, 343 Calculator

Given Input numbers are 996, 785, 791, 343

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (996, 785, 791, 343) = 1.

Given numbers are 996, 785, 791, 343

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 785 are 5 x 157

Prime factors of 791 are 7 x 113

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 996, 785, 791, 343

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

Apply this formula for all numbers.

Step1:

LCM(996, 785) = 781860

GCD(996, 785) = ( 996 x 785 ) / 781860

= 996 / 785

= 996

Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 996, 785, 791, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 921, 456, 361
• GCD of 560, 574, 429, 105
• GCD of 735, 469, 780, 840
• GCD of 726, 646, 640, 158
• GCD of 361, 287, 597, 775

Given numbers are 996, 785, 791, 343
The greatest common divisor of numbers 996, 785, 791, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 785, 791, 343 is 1.

1. What is the GCD of 996, 785, 791, 343?

GCD of given numbers 996, 785, 791, 343 is 1

2. How to calculate the greatest common divisor of 996, 785, 791, 343?

We can find the highest common divisor of 996, 785, 791, 343 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 996, 785, 791, 343 i.e 1.

3. How can I use the GCD of 996, 785, 791, 343Calculator?

Out the numbers 996, 785, 791, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.