GCD of 465, 360, 160, 830 Calculator

Given Input numbers are 465, 360, 160, 830

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (465, 360, 160, 830) = 5.

Given numbers are 465, 360, 160, 830

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 5¹

Therefore, GCD of 465, 360, 160, 830 is 5.

Given numbers are 465, 360, 160, 830

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

Apply this formula for all numbers.

Step1:

LCM(465, 360) = 11160

GCD(465, 360) = ( 465 x 360 ) / 11160

= 465 / 360

= 465

Step2:

LCM(15, 160) = 480

GCD(15, 160) = ( 15 x 160 ) / 480

= 15 / 160

= 15

Step3:

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

= 5 / 830

= 5

So, Greatest Common Divisor of 465, 360, 160, 830 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 496, 462, 560
• GCD of 448, 991, 445, 302
• GCD of 624, 284, 740, 882
• GCD of 305, 365, 352, 887
• GCD of 453, 584, 509, 138

Given numbers are 465, 360, 160, 830
The greatest common divisor of numbers 465, 360, 160, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 360, 160, 830 is 5.

1. What is the GCD of 465, 360, 160, 830?

GCD of given numbers 465, 360, 160, 830 is 5

2. How to calculate the greatest common divisor of 465, 360, 160, 830?

We can find the highest common divisor of 465, 360, 160, 830 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 465, 360, 160, 830 i.e 5.

3. How can I use the GCD of 465, 360, 160, 830Calculator?

Out the numbers 465, 360, 160, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.