GCD of 726, 546, 765, 261 Calculator

Given Input numbers are 726, 546, 765, 261

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (726, 546, 765, 261) = 3.

Given numbers are 726, 546, 765, 261

The list of prime factors of all numbers are

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

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 726, 546, 765, 261 is 3.

Given numbers are 726, 546, 765, 261

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

Apply this formula for all numbers.

Step1:

LCM(726, 546) = 66066

GCD(726, 546) = ( 726 x 546 ) / 66066

= 726 / 546

= 726

Step2:

LCM(6, 765) = 1530

GCD(6, 765) = ( 6 x 765 ) / 1530

= 6 / 765

= 6

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 726, 546, 765, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 553, 890, 913
• GCD of 322, 595, 229, 371
• GCD of 331, 752, 375, 930
• GCD of 328, 277, 604, 449
• GCD of 813, 994, 993, 127

Given numbers are 726, 546, 765, 261
The greatest common divisor of numbers 726, 546, 765, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 546, 765, 261 is 3.

1. What is the GCD of 726, 546, 765, 261?

GCD of given numbers 726, 546, 765, 261 is 3

2. How to calculate the greatest common divisor of 726, 546, 765, 261?

We can find the highest common divisor of 726, 546, 765, 261 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, 546, 765, 261 i.e 3.

3. How can I use the GCD of 726, 546, 765, 261Calculator?

Out the numbers 726, 546, 765, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.