GCD of 730, 774, 998, 960 Calculator

Given Input numbers are 730, 774, 998, 960

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (730, 774, 998, 960) = 2.

Given numbers are 730, 774, 998, 960

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 998 are 2 x 499

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 730, 774, 998, 960 is 2.

Given numbers are 730, 774, 998, 960

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

Apply this formula for all numbers.

Step1:

LCM(730, 774) = 282510

GCD(730, 774) = ( 730 x 774 ) / 282510

= 730 / 774

= 730

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 730, 774, 998, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 990, 953, 160
• GCD of 400, 626, 784, 469
• GCD of 347, 979, 500, 380
• GCD of 577, 972, 169, 291
• GCD of 876, 120, 266, 510

Given numbers are 730, 774, 998, 960
The greatest common divisor of numbers 730, 774, 998, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 774, 998, 960 is 2.

1. What is the GCD of 730, 774, 998, 960?

GCD of given numbers 730, 774, 998, 960 is 2

2. How to calculate the greatest common divisor of 730, 774, 998, 960?

We can find the highest common divisor of 730, 774, 998, 960 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 730, 774, 998, 960 i.e 2.

3. How can I use the GCD of 730, 774, 998, 960Calculator?

Out the numbers 730, 774, 998, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.