GCD of 746, 338, 72, 916 Calculator

Given Input numbers are 746, 338, 72, 916

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (746, 338, 72, 916) = 2.

Given numbers are 746, 338, 72, 916

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 338 are 2 x 13 x 13

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 746, 338, 72, 916 is 2.

Given numbers are 746, 338, 72, 916

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

Apply this formula for all numbers.

Step1:

LCM(746, 338) = 126074

GCD(746, 338) = ( 746 x 338 ) / 126074

= 746 / 338

= 746

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 746, 338, 72, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 188, 43, 377
• GCD of 583, 295, 40, 219
• GCD of 441, 826, 64, 389
• GCD of 739, 775, 66, 958
• GCD of 344, 981, 61, 639

Given numbers are 746, 338, 72, 916
The greatest common divisor of numbers 746, 338, 72, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 338, 72, 916 is 2.

1. What is the GCD of 746, 338, 72, 916?

GCD of given numbers 746, 338, 72, 916 is 2

2. How to calculate the greatest common divisor of 746, 338, 72, 916?

We can find the highest common divisor of 746, 338, 72, 916 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 746, 338, 72, 916 i.e 2.

3. How can I use the GCD of 746, 338, 72, 916Calculator?

Out the numbers 746, 338, 72, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.