GCD of 232, 300, 672, 114 Calculator

Given Input numbers are 232, 300, 672, 114

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

Divisors of 232 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (232, 300, 672, 114) = 2.

Given numbers are 232, 300, 672, 114

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 232, 300, 672, 114 is 2.

Given numbers are 232, 300, 672, 114

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

Apply this formula for all numbers.

Step1:

LCM(232, 300) = 17400

GCD(232, 300) = ( 232 x 300 ) / 17400

= 232 / 300

= 232

Step2:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4

Step3:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4

So, Greatest Common Divisor of 232, 300, 672, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 885, 780, 968
• GCD of 142, 651, 643, 158
• GCD of 909, 164, 774, 411
• GCD of 488, 183, 707, 640
• GCD of 141, 197, 998, 120

Given numbers are 232, 300, 672, 114
The greatest common divisor of numbers 232, 300, 672, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 300, 672, 114 is 2.

1. What is the GCD of 232, 300, 672, 114?

GCD of given numbers 232, 300, 672, 114 is 2

2. How to calculate the greatest common divisor of 232, 300, 672, 114?

We can find the highest common divisor of 232, 300, 672, 114 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 232, 300, 672, 114 i.e 2.

3. How can I use the GCD of 232, 300, 672, 114Calculator?

Out the numbers 232, 300, 672, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.