GCD of 686, 420, 579, 713 Calculator

Given Input numbers are 686, 420, 579, 713

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (686, 420, 579, 713) = 1.

Given numbers are 686, 420, 579, 713

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 579 are 3 x 193

Prime factors of 713 are 23 x 31

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

Given numbers are 686, 420, 579, 713

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

Apply this formula for all numbers.

Step1:

LCM(686, 420) = 20580

GCD(686, 420) = ( 686 x 420 ) / 20580

= 686 / 420

= 686

Step2:

LCM(14, 579) = 8106

GCD(14, 579) = ( 14 x 579 ) / 8106

= 14 / 579

= 14

Step3:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

So, Greatest Common Divisor of 686, 420, 579, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 259, 265, 717
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Given numbers are 686, 420, 579, 713
The greatest common divisor of numbers 686, 420, 579, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 420, 579, 713 is 1.

1. What is the GCD of 686, 420, 579, 713?

GCD of given numbers 686, 420, 579, 713 is 1

2. How to calculate the greatest common divisor of 686, 420, 579, 713?

We can find the highest common divisor of 686, 420, 579, 713 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 686, 420, 579, 713 i.e 1.

3. How can I use the GCD of 686, 420, 579, 713Calculator?

Out the numbers 686, 420, 579, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.