GCD of 450, 552, 240, 705 Calculator

Given Input numbers are 450, 552, 240, 705

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (450, 552, 240, 705) = 3.

Given numbers are 450, 552, 240, 705

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 450, 552, 240, 705 is 3.

Given numbers are 450, 552, 240, 705

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

Apply this formula for all numbers.

Step1:

LCM(450, 552) = 41400

GCD(450, 552) = ( 450 x 552 ) / 41400

= 450 / 552

= 450

Step2:

LCM(6, 240) = 240

GCD(6, 240) = ( 6 x 240 ) / 240

= 6 / 240

= 6

Step3:

LCM(6, 705) = 1410

GCD(6, 705) = ( 6 x 705 ) / 1410

= 6 / 705

= 6

So, Greatest Common Divisor of 450, 552, 240, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 331, 472, 814
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• GCD of 175, 675, 500, 173
• GCD of 895, 752, 641, 743

Given numbers are 450, 552, 240, 705
The greatest common divisor of numbers 450, 552, 240, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 552, 240, 705 is 3.

1. What is the GCD of 450, 552, 240, 705?

GCD of given numbers 450, 552, 240, 705 is 3

2. How to calculate the greatest common divisor of 450, 552, 240, 705?

We can find the highest common divisor of 450, 552, 240, 705 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 450, 552, 240, 705 i.e 3.

3. How can I use the GCD of 450, 552, 240, 705Calculator?

Out the numbers 450, 552, 240, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.