GCD of 365, 100, 775 Calculator

Given Input numbers are 365, 100, 775

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 775 :

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

1, 5, 25, 31, 155, 775

GCD of numbers is the greatest common divisor

So, the GCD (365, 100, 775) = 5.

Given numbers are 365, 100, 775

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 775 are 5 x 5 x 31

The highest common occurrence is 5¹

Therefore, GCD of 365, 100, 775 is 5.

Given numbers are 365, 100, 775

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

Apply this formula for all numbers.

Step1:

LCM(365, 100) = 7300

GCD(365, 100) = ( 365 x 100 ) / 7300

= 365 / 100

= 365

Step2:

LCM(5, 775) = 775

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

= 5 / 775

= 5

So, Greatest Common Divisor of 365, 100, 775 is 5

Here are some samples of GCD of Numbers calculations.

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Given numbers are 365, 100, 775
The greatest common divisor of numbers 365, 100, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 100, 775 is 5.

1. What is the GCD of 365, 100, 775?

GCD of given numbers 365, 100, 775 is 5

2. How to calculate the greatest common divisor of 365, 100, 775?

We can find the highest common divisor of 365, 100, 775 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 365, 100, 775 i.e 5.

3. How can I use the GCD of 365, 100, 775Calculator?

Out the numbers 365, 100, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.