GCD of 800, 616, 961, 731 Calculator

Given Input numbers are 800, 616, 961, 731

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 731 :

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

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (800, 616, 961, 731) = 1.

Given numbers are 800, 616, 961, 731

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 961 are 31 x 31

Prime factors of 731 are 17 x 43

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

Given numbers are 800, 616, 961, 731

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

Apply this formula for all numbers.

Step1:

LCM(800, 616) = 61600

GCD(800, 616) = ( 800 x 616 ) / 61600

= 800 / 616

= 800

Step2:

LCM(8, 961) = 7688

GCD(8, 961) = ( 8 x 961 ) / 7688

= 8 / 961

= 8

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 800, 616, 961, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 322, 518, 382
• GCD of 508, 473, 455, 391
• GCD of 940, 199, 198, 204
• GCD of 840, 191, 719, 683
• GCD of 919, 895, 890, 603

Given numbers are 800, 616, 961, 731
The greatest common divisor of numbers 800, 616, 961, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 616, 961, 731 is 1.

1. What is the GCD of 800, 616, 961, 731?

GCD of given numbers 800, 616, 961, 731 is 1

2. How to calculate the greatest common divisor of 800, 616, 961, 731?

We can find the highest common divisor of 800, 616, 961, 731 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 800, 616, 961, 731 i.e 1.

3. How can I use the GCD of 800, 616, 961, 731Calculator?

Out the numbers 800, 616, 961, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.