GCD of 774, 148, 730, 364 Calculator

Given Input numbers are 774, 148, 730, 364

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

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 730 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (774, 148, 730, 364) = 2.

Given numbers are 774, 148, 730, 364

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 730 are 2 x 5 x 73

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 774, 148, 730, 364 is 2.

Given numbers are 774, 148, 730, 364

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

Apply this formula for all numbers.

Step1:

LCM(774, 148) = 57276

GCD(774, 148) = ( 774 x 148 ) / 57276

= 774 / 148

= 774

Step2:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 774, 148, 730, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 121, 633, 869
• GCD of 536, 538, 647, 241
• GCD of 365, 665, 694, 458
• GCD of 856, 884, 710, 839
• GCD of 942, 323, 933, 222

Given numbers are 774, 148, 730, 364
The greatest common divisor of numbers 774, 148, 730, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 148, 730, 364 is 2.

1. What is the GCD of 774, 148, 730, 364?

GCD of given numbers 774, 148, 730, 364 is 2

2. How to calculate the greatest common divisor of 774, 148, 730, 364?

We can find the highest common divisor of 774, 148, 730, 364 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 774, 148, 730, 364 i.e 2.

3. How can I use the GCD of 774, 148, 730, 364Calculator?

Out the numbers 774, 148, 730, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.