GCD of 516, 274, 72, 743 Calculator

Given Input numbers are 516, 274, 72, 743

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (516, 274, 72, 743) = 1.

Given numbers are 516, 274, 72, 743

The list of prime factors of all numbers are

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

Prime factors of 274 are 2 x 137

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 743 are 743

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 516, 274, 72, 743

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

Apply this formula for all numbers.

Step1:

LCM(516, 274) = 70692

GCD(516, 274) = ( 516 x 274 ) / 70692

= 516 / 274

= 516

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

So, Greatest Common Divisor of 516, 274, 72, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 970, 92, 134
• GCD of 109, 255, 62, 199
• GCD of 995, 126, 10, 205
• GCD of 226, 305, 39, 513
• GCD of 973, 329, 27, 593

Given numbers are 516, 274, 72, 743
The greatest common divisor of numbers 516, 274, 72, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 274, 72, 743 is 1.

1. What is the GCD of 516, 274, 72, 743?

GCD of given numbers 516, 274, 72, 743 is 1

2. How to calculate the greatest common divisor of 516, 274, 72, 743?

We can find the highest common divisor of 516, 274, 72, 743 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, 274, 72, 743 i.e 1.

3. How can I use the GCD of 516, 274, 72, 743Calculator?

Out the numbers 516, 274, 72, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.