GCD of 702, 152, 612, 174 Calculator

Given Input numbers are 702, 152, 612, 174

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (702, 152, 612, 174) = 2.

Given numbers are 702, 152, 612, 174

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 152 are 2 x 2 x 2 x 19

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 702, 152, 612, 174 is 2.

Given numbers are 702, 152, 612, 174

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

Apply this formula for all numbers.

Step1:

LCM(702, 152) = 53352

GCD(702, 152) = ( 702 x 152 ) / 53352

= 702 / 152

= 702

Step2:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 702, 152, 612, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 646, 429, 450
• GCD of 426, 126, 565, 155
• GCD of 169, 259, 343, 534
• GCD of 685, 331, 531, 741
• GCD of 201, 919, 559, 102

Given numbers are 702, 152, 612, 174
The greatest common divisor of numbers 702, 152, 612, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 152, 612, 174 is 2.

1. What is the GCD of 702, 152, 612, 174?

GCD of given numbers 702, 152, 612, 174 is 2

2. How to calculate the greatest common divisor of 702, 152, 612, 174?

We can find the highest common divisor of 702, 152, 612, 174 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, 152, 612, 174 i.e 2.

3. How can I use the GCD of 702, 152, 612, 174Calculator?

Out the numbers 702, 152, 612, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.