GCD of 516, 726, 777, 699 Calculator

Given Input numbers are 516, 726, 777, 699

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 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 777 :

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

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (516, 726, 777, 699) = 3.

Given numbers are 516, 726, 777, 699

The list of prime factors of all numbers are

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

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

Prime factors of 777 are 3 x 7 x 37

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 516, 726, 777, 699 is 3.

Given numbers are 516, 726, 777, 699

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

Apply this formula for all numbers.

Step1:

LCM(516, 726) = 62436

GCD(516, 726) = ( 516 x 726 ) / 62436

= 516 / 726

= 516

Step2:

LCM(6, 777) = 1554

GCD(6, 777) = ( 6 x 777 ) / 1554

= 6 / 777

= 6

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 516, 726, 777, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 566, 337, 125
• GCD of 861, 136, 527, 391
• GCD of 154, 968, 767, 400
• GCD of 170, 557, 331, 860
• GCD of 622, 108, 540, 695

Given numbers are 516, 726, 777, 699
The greatest common divisor of numbers 516, 726, 777, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 726, 777, 699 is 3.

1. What is the GCD of 516, 726, 777, 699?

GCD of given numbers 516, 726, 777, 699 is 3

2. How to calculate the greatest common divisor of 516, 726, 777, 699?

We can find the highest common divisor of 516, 726, 777, 699 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, 726, 777, 699 i.e 3.

3. How can I use the GCD of 516, 726, 777, 699Calculator?

Out the numbers 516, 726, 777, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.