GCD of 682, 520, 654, 721 Calculator

Given Input numbers are 682, 520, 654, 721

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (682, 520, 654, 721) = 1.

Given numbers are 682, 520, 654, 721

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 654 are 2 x 3 x 109

Prime factors of 721 are 7 x 103

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

Given numbers are 682, 520, 654, 721

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

Apply this formula for all numbers.

Step1:

LCM(682, 520) = 177320

GCD(682, 520) = ( 682 x 520 ) / 177320

= 682 / 520

= 682

Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

Step3:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

So, Greatest Common Divisor of 682, 520, 654, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 969, 644, 531
• GCD of 344, 343, 964, 456
• GCD of 317, 705, 914, 362
• GCD of 130, 594, 969, 138
• GCD of 493, 874, 174, 539

Given numbers are 682, 520, 654, 721
The greatest common divisor of numbers 682, 520, 654, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 520, 654, 721 is 1.

1. What is the GCD of 682, 520, 654, 721?

GCD of given numbers 682, 520, 654, 721 is 1

2. How to calculate the greatest common divisor of 682, 520, 654, 721?

We can find the highest common divisor of 682, 520, 654, 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 682, 520, 654, 721 i.e 1.

3. How can I use the GCD of 682, 520, 654, 721Calculator?

Out the numbers 682, 520, 654, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.