GCD of 726, 270, 774, 267 Calculator

Given Input numbers are 726, 270, 774, 267

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (726, 270, 774, 267) = 3.

Given numbers are 726, 270, 774, 267

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 267 are 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 726, 270, 774, 267 is 3.

Given numbers are 726, 270, 774, 267

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

Apply this formula for all numbers.

Step1:

LCM(726, 270) = 32670

GCD(726, 270) = ( 726 x 270 ) / 32670

= 726 / 270

= 726

Step2:

LCM(6, 774) = 774

GCD(6, 774) = ( 6 x 774 ) / 774

= 6 / 774

= 6

Step3:

LCM(6, 267) = 534

GCD(6, 267) = ( 6 x 267 ) / 534

= 6 / 267

= 6

So, Greatest Common Divisor of 726, 270, 774, 267 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 933, 739, 291
• GCD of 968, 237, 929, 789
• GCD of 970, 771, 939, 795
• GCD of 938, 652, 648, 397
• GCD of 186, 661, 342, 310

Given numbers are 726, 270, 774, 267
The greatest common divisor of numbers 726, 270, 774, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 270, 774, 267 is 3.

1. What is the GCD of 726, 270, 774, 267?

GCD of given numbers 726, 270, 774, 267 is 3

2. How to calculate the greatest common divisor of 726, 270, 774, 267?

We can find the highest common divisor of 726, 270, 774, 267 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 726, 270, 774, 267 i.e 3.

3. How can I use the GCD of 726, 270, 774, 267Calculator?

Out the numbers 726, 270, 774, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.