GCD of 496, 270, 254, 144 Calculator

Given Input numbers are 496, 270, 254, 144

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 270, 254, 144) = 2.

Given numbers are 496, 270, 254, 144

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 254 are 2 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 496, 270, 254, 144 is 2.

Given numbers are 496, 270, 254, 144

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

Apply this formula for all numbers.

Step1:

LCM(496, 270) = 66960

GCD(496, 270) = ( 496 x 270 ) / 66960

= 496 / 270

= 496

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 496, 270, 254, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 692, 463, 102
• GCD of 224, 272, 511, 146
• GCD of 227, 467, 757, 737
• GCD of 995, 840, 843, 999
• GCD of 359, 569, 502, 306

Given numbers are 496, 270, 254, 144
The greatest common divisor of numbers 496, 270, 254, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 270, 254, 144 is 2.

1. What is the GCD of 496, 270, 254, 144?

GCD of given numbers 496, 270, 254, 144 is 2

2. How to calculate the greatest common divisor of 496, 270, 254, 144?

We can find the highest common divisor of 496, 270, 254, 144 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 496, 270, 254, 144 i.e 2.

3. How can I use the GCD of 496, 270, 254, 144Calculator?

Out the numbers 496, 270, 254, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.