GCD of 702, 722, 218, 116 Calculator

Given Input numbers are 702, 722, 218, 116

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (702, 722, 218, 116) = 2.

Given numbers are 702, 722, 218, 116

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 722 are 2 x 19 x 19

Prime factors of 218 are 2 x 109

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 702, 722, 218, 116 is 2.

Given numbers are 702, 722, 218, 116

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

Apply this formula for all numbers.

Step1:

LCM(702, 722) = 253422

GCD(702, 722) = ( 702 x 722 ) / 253422

= 702 / 722

= 702

Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 702, 722, 218, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 134, 986, 516
• GCD of 652, 736, 800, 375
• GCD of 553, 892, 560, 489
• GCD of 499, 597, 144, 789
• GCD of 181, 610, 327, 496

Given numbers are 702, 722, 218, 116
The greatest common divisor of numbers 702, 722, 218, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 722, 218, 116 is 2.

1. What is the GCD of 702, 722, 218, 116?

GCD of given numbers 702, 722, 218, 116 is 2

2. How to calculate the greatest common divisor of 702, 722, 218, 116?

We can find the highest common divisor of 702, 722, 218, 116 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 702, 722, 218, 116 i.e 2.

3. How can I use the GCD of 702, 722, 218, 116Calculator?

Out the numbers 702, 722, 218, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.