GCD of 686, 616, 746, 723 Calculator

Given Input numbers are 686, 616, 746, 723

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (686, 616, 746, 723) = 1.

Given numbers are 686, 616, 746, 723

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 746 are 2 x 373

Prime factors of 723 are 3 x 241

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

Given numbers are 686, 616, 746, 723

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

Apply this formula for all numbers.

Step1:

LCM(686, 616) = 30184

GCD(686, 616) = ( 686 x 616 ) / 30184

= 686 / 616

= 686

Step2:

LCM(14, 746) = 5222

GCD(14, 746) = ( 14 x 746 ) / 5222

= 14 / 746

= 14

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 686, 616, 746, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 801, 243, 493
• GCD of 666, 644, 484, 572
• GCD of 687, 445, 315, 446
• GCD of 473, 838, 154, 347
• GCD of 782, 352, 130, 387

Given numbers are 686, 616, 746, 723
The greatest common divisor of numbers 686, 616, 746, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 616, 746, 723 is 1.

1. What is the GCD of 686, 616, 746, 723?

GCD of given numbers 686, 616, 746, 723 is 1

2. How to calculate the greatest common divisor of 686, 616, 746, 723?

We can find the highest common divisor of 686, 616, 746, 723 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, 616, 746, 723 i.e 1.

3. How can I use the GCD of 686, 616, 746, 723Calculator?

Out the numbers 686, 616, 746, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.