GCD of 198, 232, 714, 672 Calculator

Given Input numbers are 198, 232, 714, 672

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

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (198, 232, 714, 672) = 2.

Given numbers are 198, 232, 714, 672

The list of prime factors of all numbers are

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 198, 232, 714, 672 is 2.

Given numbers are 198, 232, 714, 672

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

Apply this formula for all numbers.

Step1:

LCM(198, 232) = 22968

GCD(198, 232) = ( 198 x 232 ) / 22968

= 198 / 232

= 198

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 198, 232, 714, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 283, 570, 713
• GCD of 411, 971, 868, 443
• GCD of 870, 659, 139, 998
• GCD of 721, 179, 516, 581
• GCD of 308, 222, 379, 736

Given numbers are 198, 232, 714, 672
The greatest common divisor of numbers 198, 232, 714, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 232, 714, 672 is 2.

1. What is the GCD of 198, 232, 714, 672?

GCD of given numbers 198, 232, 714, 672 is 2

2. How to calculate the greatest common divisor of 198, 232, 714, 672?

We can find the highest common divisor of 198, 232, 714, 672 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 198, 232, 714, 672 i.e 2.

3. How can I use the GCD of 198, 232, 714, 672Calculator?

Out the numbers 198, 232, 714, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.