GCD of 145, 285, 775, 505 Calculator

Given Input numbers are 145, 285, 775, 505

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

Divisors of 145 :

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

1, 5, 29, 145

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (145, 285, 775, 505) = 5.

Given numbers are 145, 285, 775, 505

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 285 are 3 x 5 x 19

Prime factors of 775 are 5 x 5 x 31

Prime factors of 505 are 5 x 101

The highest common occurrence is 5¹

Therefore, GCD of 145, 285, 775, 505 is 5.

Given numbers are 145, 285, 775, 505

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

Apply this formula for all numbers.

Step1:

LCM(145, 285) = 8265

GCD(145, 285) = ( 145 x 285 ) / 8265

= 145 / 285

= 145

Step2:

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

= 5 / 775

= 5

Step3:

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

= 5 / 505

= 5

So, Greatest Common Divisor of 145, 285, 775, 505 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 676, 848, 120
• GCD of 271, 652, 845, 162
• GCD of 855, 589, 692, 587
• GCD of 498, 481, 499, 592
• GCD of 460, 878, 946, 580

Given numbers are 145, 285, 775, 505
The greatest common divisor of numbers 145, 285, 775, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 285, 775, 505 is 5.

1. What is the GCD of 145, 285, 775, 505?

GCD of given numbers 145, 285, 775, 505 is 5

2. How to calculate the greatest common divisor of 145, 285, 775, 505?

We can find the highest common divisor of 145, 285, 775, 505 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 145, 285, 775, 505 i.e 5.

3. How can I use the GCD of 145, 285, 775, 505Calculator?

Out the numbers 145, 285, 775, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.