GCD of 516, 540, 120, 741 Calculator

Given Input numbers are 516, 540, 120, 741

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (516, 540, 120, 741) = 3.

Given numbers are 516, 540, 120, 741

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 516, 540, 120, 741 is 3.

Given numbers are 516, 540, 120, 741

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

Apply this formula for all numbers.

Step1:

LCM(516, 540) = 23220

GCD(516, 540) = ( 516 x 540 ) / 23220

= 516 / 540

= 516

Step2:

LCM(12, 120) = 120

GCD(12, 120) = ( 12 x 120 ) / 120

= 12 / 120

= 12

Step3:

LCM(12, 741) = 2964

GCD(12, 741) = ( 12 x 741 ) / 2964

= 12 / 741

= 12

So, Greatest Common Divisor of 516, 540, 120, 741 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 661, 888, 747
• GCD of 787, 617, 139, 643
• GCD of 479, 813, 669, 896
• GCD of 995, 738, 733, 487
• GCD of 775, 611, 885, 587

Given numbers are 516, 540, 120, 741
The greatest common divisor of numbers 516, 540, 120, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 540, 120, 741 is 3.

1. What is the GCD of 516, 540, 120, 741?

GCD of given numbers 516, 540, 120, 741 is 3

2. How to calculate the greatest common divisor of 516, 540, 120, 741?

We can find the highest common divisor of 516, 540, 120, 741 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 516, 540, 120, 741 i.e 3.

3. How can I use the GCD of 516, 540, 120, 741Calculator?

Out the numbers 516, 540, 120, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.