GCD of 144, 456, 148, 874 Calculator

Given Input numbers are 144, 456, 148, 874

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (144, 456, 148, 874) = 2.

Given numbers are 144, 456, 148, 874

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 148 are 2 x 2 x 37

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 144, 456, 148, 874 is 2.

Given numbers are 144, 456, 148, 874

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

Apply this formula for all numbers.

Step1:

LCM(144, 456) = 2736

GCD(144, 456) = ( 144 x 456 ) / 2736

= 144 / 456

= 144

Step2:

LCM(24, 148) = 888

GCD(24, 148) = ( 24 x 148 ) / 888

= 24 / 148

= 24

Step3:

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

= 4 / 874

= 4

So, Greatest Common Divisor of 144, 456, 148, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 546, 425, 675
• GCD of 330, 258, 539, 856
• GCD of 664, 468, 347, 976
• GCD of 829, 752, 542, 713
• GCD of 619, 594, 397, 719

Given numbers are 144, 456, 148, 874
The greatest common divisor of numbers 144, 456, 148, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 456, 148, 874 is 2.

1. What is the GCD of 144, 456, 148, 874?

GCD of given numbers 144, 456, 148, 874 is 2

2. How to calculate the greatest common divisor of 144, 456, 148, 874?

We can find the highest common divisor of 144, 456, 148, 874 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, 456, 148, 874 i.e 2.

3. How can I use the GCD of 144, 456, 148, 874Calculator?

Out the numbers 144, 456, 148, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.