GCD of 112, 766, 674, 198 Calculator

Given Input numbers are 112, 766, 674, 198

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 766 :

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

1, 2, 383, 766

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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

GCD of numbers is the greatest common divisor

So, the GCD (112, 766, 674, 198) = 2.

Given numbers are 112, 766, 674, 198

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 766 are 2 x 383

Prime factors of 674 are 2 x 337

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

The highest common occurrence is 2¹

Therefore, GCD of 112, 766, 674, 198 is 2.

Given numbers are 112, 766, 674, 198

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

Apply this formula for all numbers.

Step1:

LCM(112, 766) = 42896

GCD(112, 766) = ( 112 x 766 ) / 42896

= 112 / 766

= 112

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 112, 766, 674, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 452, 372, 649
• GCD of 401, 651, 364, 252
• GCD of 459, 131, 764, 243
• GCD of 122, 818, 307, 648
• GCD of 104, 651, 585, 661

Given numbers are 112, 766, 674, 198
The greatest common divisor of numbers 112, 766, 674, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 766, 674, 198 is 2.

1. What is the GCD of 112, 766, 674, 198?

GCD of given numbers 112, 766, 674, 198 is 2

2. How to calculate the greatest common divisor of 112, 766, 674, 198?

We can find the highest common divisor of 112, 766, 674, 198 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 112, 766, 674, 198 i.e 2.

3. How can I use the GCD of 112, 766, 674, 198Calculator?

Out the numbers 112, 766, 674, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.