GCD of 945, 345, 820 Calculator

Given Input numbers are 945, 345, 820

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (945, 345, 820) = 5.

Given numbers are 945, 345, 820

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 5¹

Therefore, GCD of 945, 345, 820 is 5.

Given numbers are 945, 345, 820

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

Apply this formula for all numbers.

Step1:

LCM(945, 345) = 21735

GCD(945, 345) = ( 945 x 345 ) / 21735

= 945 / 345

= 945

Step2:

LCM(15, 820) = 2460

GCD(15, 820) = ( 15 x 820 ) / 2460

= 15 / 820

= 15

So, Greatest Common Divisor of 945, 345, 820 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 180, 625
• GCD of 673, 873, 607
• GCD of 803, 304, 373
• GCD of 241, 465, 911
• GCD of 810, 295, 774

Given numbers are 945, 345, 820
The greatest common divisor of numbers 945, 345, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 345, 820 is 5.

1. What is the GCD of 945, 345, 820?

GCD of given numbers 945, 345, 820 is 5

2. How to calculate the greatest common divisor of 945, 345, 820?

We can find the highest common divisor of 945, 345, 820 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 945, 345, 820 i.e 5.

3. How can I use the GCD of 945, 345, 820Calculator?

Out the numbers 945, 345, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.