GCD of 702, 198, 606, 270 Calculator

Given Input numbers are 702, 198, 606, 270

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (702, 198, 606, 270) = 6.

Given numbers are 702, 198, 606, 270

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 198 are 2 x 3 x 3 x 11

Prime factors of 606 are 2 x 3 x 101

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 702, 198, 606, 270 is 6.

Given numbers are 702, 198, 606, 270

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

Apply this formula for all numbers.

Step1:

LCM(702, 198) = 7722

GCD(702, 198) = ( 702 x 198 ) / 7722

= 702 / 198

= 702

Step2:

LCM(18, 606) = 1818

GCD(18, 606) = ( 18 x 606 ) / 1818

= 18 / 606

= 18

Step3:

LCM(6, 270) = 270

GCD(6, 270) = ( 6 x 270 ) / 270

= 6 / 270

= 6

So, Greatest Common Divisor of 702, 198, 606, 270 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 331, 419, 184
• GCD of 168, 333, 669, 554
• GCD of 790, 241, 528, 494
• GCD of 715, 290, 372, 938
• GCD of 295, 585, 891, 446

Given numbers are 702, 198, 606, 270
The greatest common divisor of numbers 702, 198, 606, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 198, 606, 270 is 6.

1. What is the GCD of 702, 198, 606, 270?

GCD of given numbers 702, 198, 606, 270 is 6

2. How to calculate the greatest common divisor of 702, 198, 606, 270?

We can find the highest common divisor of 702, 198, 606, 270 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, 198, 606, 270 i.e 6.

3. How can I use the GCD of 702, 198, 606, 270Calculator?

Out the numbers 702, 198, 606, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.