GCD of 144, 942, 714, 225 Calculator

Given Input numbers are 144, 942, 714, 225

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

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (144, 942, 714, 225) = 3.

Given numbers are 144, 942, 714, 225

The list of prime factors of all numbers are

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

Prime factors of 942 are 2 x 3 x 157

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

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 144, 942, 714, 225 is 3.

Given numbers are 144, 942, 714, 225

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

Apply this formula for all numbers.

Step1:

LCM(144, 942) = 22608

GCD(144, 942) = ( 144 x 942 ) / 22608

= 144 / 942

= 144

Step2:

LCM(6, 714) = 714

GCD(6, 714) = ( 6 x 714 ) / 714

= 6 / 714

= 6

Step3:

LCM(6, 225) = 450

GCD(6, 225) = ( 6 x 225 ) / 450

= 6 / 225

= 6

So, Greatest Common Divisor of 144, 942, 714, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 796, 277, 196
• GCD of 145, 692, 644, 449
• GCD of 890, 268, 751, 392
• GCD of 307, 999, 157, 170
• GCD of 636, 880, 538, 187

Given numbers are 144, 942, 714, 225
The greatest common divisor of numbers 144, 942, 714, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 942, 714, 225 is 3.

1. What is the GCD of 144, 942, 714, 225?

GCD of given numbers 144, 942, 714, 225 is 3

2. How to calculate the greatest common divisor of 144, 942, 714, 225?

We can find the highest common divisor of 144, 942, 714, 225 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 144, 942, 714, 225 i.e 3.

3. How can I use the GCD of 144, 942, 714, 225Calculator?

Out the numbers 144, 942, 714, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.