GCD of 195, 774, 702, 552 Calculator

Given Input numbers are 195, 774, 702, 552

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (195, 774, 702, 552) = 3.

Given numbers are 195, 774, 702, 552

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 774 are 2 x 3 x 3 x 43

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 195, 774, 702, 552 is 3.

Given numbers are 195, 774, 702, 552

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

Apply this formula for all numbers.

Step1:

LCM(195, 774) = 50310

GCD(195, 774) = ( 195 x 774 ) / 50310

= 195 / 774

= 195

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 195, 774, 702, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 269, 167, 134
• GCD of 767, 775, 531, 915
• GCD of 500, 918, 391, 573
• GCD of 193, 452, 181, 490
• GCD of 295, 624, 509, 662

Given numbers are 195, 774, 702, 552
The greatest common divisor of numbers 195, 774, 702, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 774, 702, 552 is 3.

1. What is the GCD of 195, 774, 702, 552?

GCD of given numbers 195, 774, 702, 552 is 3

2. How to calculate the greatest common divisor of 195, 774, 702, 552?

We can find the highest common divisor of 195, 774, 702, 552 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 195, 774, 702, 552 i.e 3.

3. How can I use the GCD of 195, 774, 702, 552Calculator?

Out the numbers 195, 774, 702, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.