GCD of 814, 726, 428, 614 Calculator

Given Input numbers are 814, 726, 428, 614

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (814, 726, 428, 614) = 2.

Given numbers are 814, 726, 428, 614

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 814, 726, 428, 614 is 2.

Given numbers are 814, 726, 428, 614

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

Apply this formula for all numbers.

Step1:

LCM(814, 726) = 26862

GCD(814, 726) = ( 814 x 726 ) / 26862

= 814 / 726

= 814

Step2:

LCM(22, 428) = 4708

GCD(22, 428) = ( 22 x 428 ) / 4708

= 22 / 428

= 22

Step3:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

So, Greatest Common Divisor of 814, 726, 428, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 850, 417, 386
• GCD of 734, 768, 238, 791
• GCD of 757, 969, 636, 996
• GCD of 867, 337, 981, 621
• GCD of 435, 729, 157, 710

Given numbers are 814, 726, 428, 614
The greatest common divisor of numbers 814, 726, 428, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 726, 428, 614 is 2.

1. What is the GCD of 814, 726, 428, 614?

GCD of given numbers 814, 726, 428, 614 is 2

2. How to calculate the greatest common divisor of 814, 726, 428, 614?

We can find the highest common divisor of 814, 726, 428, 614 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 814, 726, 428, 614 i.e 2.

3. How can I use the GCD of 814, 726, 428, 614Calculator?

Out the numbers 814, 726, 428, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.