GCD of 766, 918, 342, 726 Calculator

Given Input numbers are 766, 918, 342, 726

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (766, 918, 342, 726) = 2.

Given numbers are 766, 918, 342, 726

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 766, 918, 342, 726 is 2.

Given numbers are 766, 918, 342, 726

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

Apply this formula for all numbers.

Step1:

LCM(766, 918) = 351594

GCD(766, 918) = ( 766 x 918 ) / 351594

= 766 / 918

= 766

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 766, 918, 342, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 173, 982, 481
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• GCD of 650, 361, 668, 432
• GCD of 935, 118, 747, 686
• GCD of 828, 607, 681, 143

Given numbers are 766, 918, 342, 726
The greatest common divisor of numbers 766, 918, 342, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 918, 342, 726 is 2.

1. What is the GCD of 766, 918, 342, 726?

GCD of given numbers 766, 918, 342, 726 is 2

2. How to calculate the greatest common divisor of 766, 918, 342, 726?

We can find the highest common divisor of 766, 918, 342, 726 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 766, 918, 342, 726 i.e 2.

3. How can I use the GCD of 766, 918, 342, 726Calculator?

Out the numbers 766, 918, 342, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.