GCD of 652, 656, 116, 174 Calculator

Given Input numbers are 652, 656, 116, 174

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

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 (652, 656, 116, 174) = 2.

Given numbers are 652, 656, 116, 174

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 116 are 2 x 2 x 29

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 652, 656, 116, 174 is 2.

Given numbers are 652, 656, 116, 174

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

Apply this formula for all numbers.

Step1:

LCM(652, 656) = 106928

GCD(652, 656) = ( 652 x 656 ) / 106928

= 652 / 656

= 652

Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

Step3:

LCM(4, 174) = 348

GCD(4, 174) = ( 4 x 174 ) / 348

= 4 / 174

= 4

So, Greatest Common Divisor of 652, 656, 116, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 157, 227, 768
• GCD of 620, 130, 403, 566
• GCD of 368, 614, 172, 238
• GCD of 982, 188, 187, 209
• GCD of 143, 774, 920, 281

Given numbers are 652, 656, 116, 174
The greatest common divisor of numbers 652, 656, 116, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 656, 116, 174 is 2.

1. What is the GCD of 652, 656, 116, 174?

GCD of given numbers 652, 656, 116, 174 is 2

2. How to calculate the greatest common divisor of 652, 656, 116, 174?

We can find the highest common divisor of 652, 656, 116, 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 652, 656, 116, 174 i.e 2.

3. How can I use the GCD of 652, 656, 116, 174Calculator?

Out the numbers 652, 656, 116, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.