GCD of 748, 316, 418, 730 Calculator

Given Input numbers are 748, 316, 418, 730

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 730 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 316, 418, 730) = 2.

Given numbers are 748, 316, 418, 730

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 316 are 2 x 2 x 79

Prime factors of 418 are 2 x 11 x 19

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 748, 316, 418, 730 is 2.

Given numbers are 748, 316, 418, 730

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

Apply this formula for all numbers.

Step1:

LCM(748, 316) = 59092

GCD(748, 316) = ( 748 x 316 ) / 59092

= 748 / 316

= 748

Step2:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4

Step3:

LCM(2, 730) = 730

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

= 2 / 730

= 2

So, Greatest Common Divisor of 748, 316, 418, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 412, 425, 865
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Given numbers are 748, 316, 418, 730
The greatest common divisor of numbers 748, 316, 418, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 316, 418, 730 is 2.

1. What is the GCD of 748, 316, 418, 730?

GCD of given numbers 748, 316, 418, 730 is 2

2. How to calculate the greatest common divisor of 748, 316, 418, 730?

We can find the highest common divisor of 748, 316, 418, 730 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 748, 316, 418, 730 i.e 2.

3. How can I use the GCD of 748, 316, 418, 730Calculator?

Out the numbers 748, 316, 418, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.