GCD of 348, 198, 656, 766 Calculator

Given Input numbers are 348, 198, 656, 766

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 656 :

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

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (348, 198, 656, 766) = 2.

Given numbers are 348, 198, 656, 766

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 198 are 2 x 3 x 3 x 11

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

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 348, 198, 656, 766 is 2.

Given numbers are 348, 198, 656, 766

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

Apply this formula for all numbers.

Step1:

LCM(348, 198) = 11484

GCD(348, 198) = ( 348 x 198 ) / 11484

= 348 / 198

= 348

Step2:

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

= 6 / 656

= 6

Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

So, Greatest Common Divisor of 348, 198, 656, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 686, 370, 663
• GCD of 369, 683, 471, 674
• GCD of 924, 533, 106, 826
• GCD of 198, 163, 224, 335
• GCD of 475, 583, 730, 493

Given numbers are 348, 198, 656, 766
The greatest common divisor of numbers 348, 198, 656, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 198, 656, 766 is 2.

1. What is the GCD of 348, 198, 656, 766?

GCD of given numbers 348, 198, 656, 766 is 2

2. How to calculate the greatest common divisor of 348, 198, 656, 766?

We can find the highest common divisor of 348, 198, 656, 766 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 348, 198, 656, 766 i.e 2.

3. How can I use the GCD of 348, 198, 656, 766Calculator?

Out the numbers 348, 198, 656, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.