GCD of 918, 746, 346, 756 Calculator

Given Input numbers are 918, 746, 346, 756

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

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 746 :

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

1, 2, 373, 746

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (918, 746, 346, 756) = 2.

Given numbers are 918, 746, 346, 756

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 346 are 2 x 173

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 918, 746, 346, 756 is 2.

Given numbers are 918, 746, 346, 756

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

Apply this formula for all numbers.

Step1:

LCM(918, 746) = 342414

GCD(918, 746) = ( 918 x 746 ) / 342414

= 918 / 746

= 918

Step2:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 918, 746, 346, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 721, 488, 793
• GCD of 357, 891, 157, 110
• GCD of 810, 398, 352, 459
• GCD of 297, 345, 269, 674
• GCD of 205, 965, 417, 927

Given numbers are 918, 746, 346, 756
The greatest common divisor of numbers 918, 746, 346, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 746, 346, 756 is 2.

1. What is the GCD of 918, 746, 346, 756?

GCD of given numbers 918, 746, 346, 756 is 2

2. How to calculate the greatest common divisor of 918, 746, 346, 756?

We can find the highest common divisor of 918, 746, 346, 756 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 918, 746, 346, 756 i.e 2.

3. How can I use the GCD of 918, 746, 346, 756Calculator?

Out the numbers 918, 746, 346, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.