GCD of 427, 714, 721, 518 Calculator

Given Input numbers are 427, 714, 721, 518

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 721 :

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

1, 7, 103, 721

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (427, 714, 721, 518) = 7.

Given numbers are 427, 714, 721, 518

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 721 are 7 x 103

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 7¹

Therefore, GCD of 427, 714, 721, 518 is 7.

Given numbers are 427, 714, 721, 518

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

Apply this formula for all numbers.

Step1:

LCM(427, 714) = 43554

GCD(427, 714) = ( 427 x 714 ) / 43554

= 427 / 714

= 427

Step2:

LCM(7, 721) = 721

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

= 7 / 721

= 7

Step3:

LCM(7, 518) = 518

GCD(7, 518) = ( 7 x 518 ) / 518

= 7 / 518

= 7

So, Greatest Common Divisor of 427, 714, 721, 518 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 675, 435, 570
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• GCD of 805, 232, 140, 363
• GCD of 687, 206, 773, 244
• GCD of 736, 909, 479, 642

Given numbers are 427, 714, 721, 518
The greatest common divisor of numbers 427, 714, 721, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 714, 721, 518 is 7.

1. What is the GCD of 427, 714, 721, 518?

GCD of given numbers 427, 714, 721, 518 is 7

2. How to calculate the greatest common divisor of 427, 714, 721, 518?

We can find the highest common divisor of 427, 714, 721, 518 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 427, 714, 721, 518 i.e 7.

3. How can I use the GCD of 427, 714, 721, 518Calculator?

Out the numbers 427, 714, 721, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.