GCD of 726, 686, 746, 851 Calculator

Given Input numbers are 726, 686, 746, 851

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

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 686 :

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

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

GCD of numbers is the greatest common divisor

So, the GCD (726, 686, 746, 851) = 1.

Given numbers are 726, 686, 746, 851

The list of prime factors of all numbers are

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

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

Prime factors of 746 are 2 x 373

Prime factors of 851 are 23 x 37

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

Given numbers are 726, 686, 746, 851

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

Apply this formula for all numbers.

Step1:

LCM(726, 686) = 249018

GCD(726, 686) = ( 726 x 686 ) / 249018

= 726 / 686

= 726

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

= 2 / 851

= 2

So, Greatest Common Divisor of 726, 686, 746, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 916, 950, 735
• GCD of 655, 701, 134, 942
• GCD of 687, 794, 941, 517
• GCD of 998, 472, 364, 102
• GCD of 939, 988, 417, 362

Given numbers are 726, 686, 746, 851
The greatest common divisor of numbers 726, 686, 746, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 686, 746, 851 is 1.

1. What is the GCD of 726, 686, 746, 851?

GCD of given numbers 726, 686, 746, 851 is 1

2. How to calculate the greatest common divisor of 726, 686, 746, 851?

We can find the highest common divisor of 726, 686, 746, 851 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 726, 686, 746, 851 i.e 1.

3. How can I use the GCD of 726, 686, 746, 851Calculator?

Out the numbers 726, 686, 746, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.