GCD of 712, 164, 705, 726 Calculator

Given Input numbers are 712, 164, 705, 726

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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

GCD of numbers is the greatest common divisor

So, the GCD (712, 164, 705, 726) = 1.

Given numbers are 712, 164, 705, 726

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 164 are 2 x 2 x 41

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 712, 164, 705, 726

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

Apply this formula for all numbers.

Step1:

LCM(712, 164) = 29192

GCD(712, 164) = ( 712 x 164 ) / 29192

= 712 / 164

= 712

Step2:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 712, 164, 705, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 502, 207, 503
• GCD of 875, 210, 554, 213
• GCD of 514, 409, 270, 732
• GCD of 969, 813, 444, 935
• GCD of 283, 684, 135, 105

Given numbers are 712, 164, 705, 726
The greatest common divisor of numbers 712, 164, 705, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 164, 705, 726 is 1.

1. What is the GCD of 712, 164, 705, 726?

GCD of given numbers 712, 164, 705, 726 is 1

2. How to calculate the greatest common divisor of 712, 164, 705, 726?

We can find the highest common divisor of 712, 164, 705, 726 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 712, 164, 705, 726 i.e 1.

3. How can I use the GCD of 712, 164, 705, 726Calculator?

Out the numbers 712, 164, 705, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.