GCD of 846, 309, 471, 369 Calculator

Given Input numbers are 846, 309, 471, 369

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (846, 309, 471, 369) = 3.

Given numbers are 846, 309, 471, 369

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 309 are 3 x 103

Prime factors of 471 are 3 x 157

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 846, 309, 471, 369 is 3.

Given numbers are 846, 309, 471, 369

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

Apply this formula for all numbers.

Step1:

LCM(846, 309) = 87138

GCD(846, 309) = ( 846 x 309 ) / 87138

= 846 / 309

= 846

Step2:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 846, 309, 471, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 503, 295, 663
• GCD of 572, 463, 188, 708
• GCD of 855, 412, 346, 894
• GCD of 262, 202, 886, 236
• GCD of 725, 272, 109, 119

Given numbers are 846, 309, 471, 369
The greatest common divisor of numbers 846, 309, 471, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 309, 471, 369 is 3.

1. What is the GCD of 846, 309, 471, 369?

GCD of given numbers 846, 309, 471, 369 is 3

2. How to calculate the greatest common divisor of 846, 309, 471, 369?

We can find the highest common divisor of 846, 309, 471, 369 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 846, 309, 471, 369 i.e 3.

3. How can I use the GCD of 846, 309, 471, 369Calculator?

Out the numbers 846, 309, 471, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.