GCD of 734, 480, 252, 144 Calculator

Given Input numbers are 734, 480, 252, 144

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 (734, 480, 252, 144) = 2.

Given numbers are 734, 480, 252, 144

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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 734, 480, 252, 144 is 2.

Given numbers are 734, 480, 252, 144

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

Apply this formula for all numbers.

Step1:

LCM(734, 480) = 176160

GCD(734, 480) = ( 734 x 480 ) / 176160

= 734 / 480

= 734

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 734, 480, 252, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 721, 845, 761
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Given numbers are 734, 480, 252, 144
The greatest common divisor of numbers 734, 480, 252, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 480, 252, 144 is 2.

1. What is the GCD of 734, 480, 252, 144?

GCD of given numbers 734, 480, 252, 144 is 2

2. How to calculate the greatest common divisor of 734, 480, 252, 144?

We can find the highest common divisor of 734, 480, 252, 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 734, 480, 252, 144 i.e 2.

3. How can I use the GCD of 734, 480, 252, 144Calculator?

Out the numbers 734, 480, 252, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.