GCD of 730, 160, 145, 225 Calculator

Given Input numbers are 730, 160, 145, 225

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (730, 160, 145, 225) = 5.

Given numbers are 730, 160, 145, 225

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 145 are 5 x 29

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 730, 160, 145, 225 is 5.

Given numbers are 730, 160, 145, 225

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

Apply this formula for all numbers.

Step1:

LCM(730, 160) = 11680

GCD(730, 160) = ( 730 x 160 ) / 11680

= 730 / 160

= 730

Step2:

LCM(10, 145) = 290

GCD(10, 145) = ( 10 x 145 ) / 290

= 10 / 145

= 10

Step3:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

So, Greatest Common Divisor of 730, 160, 145, 225 is 5

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• GCD of 749, 447, 234, 977
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Given numbers are 730, 160, 145, 225
The greatest common divisor of numbers 730, 160, 145, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 160, 145, 225 is 5.

1. What is the GCD of 730, 160, 145, 225?

GCD of given numbers 730, 160, 145, 225 is 5

2. How to calculate the greatest common divisor of 730, 160, 145, 225?

We can find the highest common divisor of 730, 160, 145, 225 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 730, 160, 145, 225 i.e 5.

3. How can I use the GCD of 730, 160, 145, 225Calculator?

Out the numbers 730, 160, 145, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.