GCD of 450, 270, 412, 702 Calculator

Given Input numbers are 450, 270, 412, 702

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 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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (450, 270, 412, 702) = 2.

Given numbers are 450, 270, 412, 702

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 412 are 2 x 2 x 103

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 450, 270, 412, 702 is 2.

Given numbers are 450, 270, 412, 702

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

Apply this formula for all numbers.

Step1:

LCM(450, 270) = 1350

GCD(450, 270) = ( 450 x 270 ) / 1350

= 450 / 270

= 450

Step2:

LCM(90, 412) = 18540

GCD(90, 412) = ( 90 x 412 ) / 18540

= 90 / 412

= 90

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 450, 270, 412, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 798, 999, 761
• GCD of 223, 994, 632, 512
• GCD of 129, 823, 119, 109
• GCD of 151, 346, 330, 341
• GCD of 551, 372, 894, 612

Given numbers are 450, 270, 412, 702
The greatest common divisor of numbers 450, 270, 412, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 270, 412, 702 is 2.

1. What is the GCD of 450, 270, 412, 702?

GCD of given numbers 450, 270, 412, 702 is 2

2. How to calculate the greatest common divisor of 450, 270, 412, 702?

We can find the highest common divisor of 450, 270, 412, 702 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, 270, 412, 702 i.e 2.

3. How can I use the GCD of 450, 270, 412, 702Calculator?

Out the numbers 450, 270, 412, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.