GCD of 730, 746, 724, 374 Calculator

Given Input numbers are 730, 746, 724, 374

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (730, 746, 724, 374) = 2.

Given numbers are 730, 746, 724, 374

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 746 are 2 x 373

Prime factors of 724 are 2 x 2 x 181

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 730, 746, 724, 374 is 2.

Given numbers are 730, 746, 724, 374

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

Apply this formula for all numbers.

Step1:

LCM(730, 746) = 272290

GCD(730, 746) = ( 730 x 746 ) / 272290

= 730 / 746

= 730

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 730, 746, 724, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 400, 603, 505
• GCD of 153, 903, 751, 504
• GCD of 451, 377, 726, 814
• GCD of 434, 756, 430, 517
• GCD of 716, 344, 431, 323

Given numbers are 730, 746, 724, 374
The greatest common divisor of numbers 730, 746, 724, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 746, 724, 374 is 2.

1. What is the GCD of 730, 746, 724, 374?

GCD of given numbers 730, 746, 724, 374 is 2

2. How to calculate the greatest common divisor of 730, 746, 724, 374?

We can find the highest common divisor of 730, 746, 724, 374 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, 746, 724, 374 i.e 2.

3. How can I use the GCD of 730, 746, 724, 374Calculator?

Out the numbers 730, 746, 724, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.