GCD of 658, 694, 726, 722 Calculator

Given Input numbers are 658, 694, 726, 722

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (658, 694, 726, 722) = 2.

Given numbers are 658, 694, 726, 722

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 694 are 2 x 347

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

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 658, 694, 726, 722 is 2.

Given numbers are 658, 694, 726, 722

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

Apply this formula for all numbers.

Step1:

LCM(658, 694) = 228326

GCD(658, 694) = ( 658 x 694 ) / 228326

= 658 / 694

= 658

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 658, 694, 726, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 330, 713, 560
• GCD of 234, 354, 680, 678
• GCD of 477, 788, 435, 265
• GCD of 209, 259, 934, 226
• GCD of 727, 766, 525, 789

Given numbers are 658, 694, 726, 722
The greatest common divisor of numbers 658, 694, 726, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 694, 726, 722 is 2.

1. What is the GCD of 658, 694, 726, 722?

GCD of given numbers 658, 694, 726, 722 is 2

2. How to calculate the greatest common divisor of 658, 694, 726, 722?

We can find the highest common divisor of 658, 694, 726, 722 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 658, 694, 726, 722 i.e 2.

3. How can I use the GCD of 658, 694, 726, 722Calculator?

Out the numbers 658, 694, 726, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.