GCD of 728, 802, 740, 966 Calculator

Given Input numbers are 728, 802, 740, 966

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (728, 802, 740, 966) = 2.

Given numbers are 728, 802, 740, 966

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 802 are 2 x 401

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 728, 802, 740, 966 is 2.

Given numbers are 728, 802, 740, 966

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

Apply this formula for all numbers.

Step1:

LCM(728, 802) = 291928

GCD(728, 802) = ( 728 x 802 ) / 291928

= 728 / 802

= 728

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 728, 802, 740, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 817, 732, 157
• GCD of 452, 191, 308, 554
• GCD of 566, 377, 300, 991
• GCD of 619, 510, 616, 135
• GCD of 280, 736, 468, 362

Given numbers are 728, 802, 740, 966
The greatest common divisor of numbers 728, 802, 740, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 802, 740, 966 is 2.

1. What is the GCD of 728, 802, 740, 966?

GCD of given numbers 728, 802, 740, 966 is 2

2. How to calculate the greatest common divisor of 728, 802, 740, 966?

We can find the highest common divisor of 728, 802, 740, 966 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 728, 802, 740, 966 i.e 2.

3. How can I use the GCD of 728, 802, 740, 966Calculator?

Out the numbers 728, 802, 740, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.