GCD of 350, 144, 748, 234 Calculator

Given Input numbers are 350, 144, 748, 234

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (350, 144, 748, 234) = 2.

Given numbers are 350, 144, 748, 234

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 350, 144, 748, 234 is 2.

Given numbers are 350, 144, 748, 234

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

Apply this formula for all numbers.

Step1:

LCM(350, 144) = 25200

GCD(350, 144) = ( 350 x 144 ) / 25200

= 350 / 144

= 350

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

So, Greatest Common Divisor of 350, 144, 748, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 209, 917, 464
• GCD of 762, 952, 498, 964
• GCD of 443, 296, 704, 512
• GCD of 470, 439, 356, 683
• GCD of 514, 219, 137, 598

Given numbers are 350, 144, 748, 234
The greatest common divisor of numbers 350, 144, 748, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 144, 748, 234 is 2.

1. What is the GCD of 350, 144, 748, 234?

GCD of given numbers 350, 144, 748, 234 is 2

2. How to calculate the greatest common divisor of 350, 144, 748, 234?

We can find the highest common divisor of 350, 144, 748, 234 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 350, 144, 748, 234 i.e 2.

3. How can I use the GCD of 350, 144, 748, 234Calculator?

Out the numbers 350, 144, 748, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.