GCD of 539, 777, 749, 721 Calculator

Given Input numbers are 539, 777, 749, 721

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

Divisors of 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (539, 777, 749, 721) = 7.

Given numbers are 539, 777, 749, 721

The list of prime factors of all numbers are

Prime factors of 539 are 7 x 7 x 11

Prime factors of 777 are 3 x 7 x 37

Prime factors of 749 are 7 x 107

Prime factors of 721 are 7 x 103

The highest common occurrence is 7¹

Therefore, GCD of 539, 777, 749, 721 is 7.

Given numbers are 539, 777, 749, 721

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

Apply this formula for all numbers.

Step1:

LCM(539, 777) = 59829

GCD(539, 777) = ( 539 x 777 ) / 59829

= 539 / 777

= 539

Step2:

LCM(7, 749) = 749

GCD(7, 749) = ( 7 x 749 ) / 749

= 7 / 749

= 7

Step3:

LCM(7, 721) = 721

GCD(7, 721) = ( 7 x 721 ) / 721

= 7 / 721

= 7

So, Greatest Common Divisor of 539, 777, 749, 721 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 207, 119, 369
• GCD of 368, 754, 505, 875
• GCD of 466, 264, 175, 631
• GCD of 190, 629, 157, 821
• GCD of 173, 106, 962, 342

Given numbers are 539, 777, 749, 721
The greatest common divisor of numbers 539, 777, 749, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 539, 777, 749, 721 is 7.

1. What is the GCD of 539, 777, 749, 721?

GCD of given numbers 539, 777, 749, 721 is 7

2. How to calculate the greatest common divisor of 539, 777, 749, 721?

We can find the highest common divisor of 539, 777, 749, 721 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 539, 777, 749, 721 i.e 7.

3. How can I use the GCD of 539, 777, 749, 721Calculator?

Out the numbers 539, 777, 749, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.