GCD of 870, 798, 726, 743 Calculator

Given Input numbers are 870, 798, 726, 743

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (870, 798, 726, 743) = 1.

Given numbers are 870, 798, 726, 743

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

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

Prime factors of 743 are 743

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

Given numbers are 870, 798, 726, 743

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

Apply this formula for all numbers.

Step1:

LCM(870, 798) = 115710

GCD(870, 798) = ( 870 x 798 ) / 115710

= 870 / 798

= 870

Step2:

LCM(6, 726) = 726

GCD(6, 726) = ( 6 x 726 ) / 726

= 6 / 726

= 6

Step3:

LCM(6, 743) = 4458

GCD(6, 743) = ( 6 x 743 ) / 4458

= 6 / 743

= 6

So, Greatest Common Divisor of 870, 798, 726, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 344, 438, 226
• GCD of 804, 997, 101, 670
• GCD of 709, 429, 103, 920
• GCD of 700, 979, 824, 104
• GCD of 781, 269, 755, 617

Given numbers are 870, 798, 726, 743
The greatest common divisor of numbers 870, 798, 726, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 798, 726, 743 is 1.

1. What is the GCD of 870, 798, 726, 743?

GCD of given numbers 870, 798, 726, 743 is 1

2. How to calculate the greatest common divisor of 870, 798, 726, 743?

We can find the highest common divisor of 870, 798, 726, 743 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 870, 798, 726, 743 i.e 1.

3. How can I use the GCD of 870, 798, 726, 743Calculator?

Out the numbers 870, 798, 726, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.