GCD of 734, 416, 918, 424 Calculator

Given Input numbers are 734, 416, 918, 424

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (734, 416, 918, 424) = 2.

Given numbers are 734, 416, 918, 424

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 734, 416, 918, 424 is 2.

Given numbers are 734, 416, 918, 424

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

Apply this formula for all numbers.

Step1:

LCM(734, 416) = 152672

GCD(734, 416) = ( 734 x 416 ) / 152672

= 734 / 416

= 734

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

So, Greatest Common Divisor of 734, 416, 918, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 310, 799, 809
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Given numbers are 734, 416, 918, 424
The greatest common divisor of numbers 734, 416, 918, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 416, 918, 424 is 2.

1. What is the GCD of 734, 416, 918, 424?

GCD of given numbers 734, 416, 918, 424 is 2

2. How to calculate the greatest common divisor of 734, 416, 918, 424?

We can find the highest common divisor of 734, 416, 918, 424 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 734, 416, 918, 424 i.e 2.

3. How can I use the GCD of 734, 416, 918, 424Calculator?

Out the numbers 734, 416, 918, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.