GCD of 369, 849, 474, 894 Calculator

Given Input numbers are 369, 849, 474, 894

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (369, 849, 474, 894) = 3.

Given numbers are 369, 849, 474, 894

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 849 are 3 x 283

Prime factors of 474 are 2 x 3 x 79

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 3¹

Therefore, GCD of 369, 849, 474, 894 is 3.

Given numbers are 369, 849, 474, 894

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

Apply this formula for all numbers.

Step1:

LCM(369, 849) = 104427

GCD(369, 849) = ( 369 x 849 ) / 104427

= 369 / 849

= 369

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

So, Greatest Common Divisor of 369, 849, 474, 894 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 525, 860, 952
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• GCD of 700, 263, 409, 897

Given numbers are 369, 849, 474, 894
The greatest common divisor of numbers 369, 849, 474, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 849, 474, 894 is 3.

1. What is the GCD of 369, 849, 474, 894?

GCD of given numbers 369, 849, 474, 894 is 3

2. How to calculate the greatest common divisor of 369, 849, 474, 894?

We can find the highest common divisor of 369, 849, 474, 894 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 369, 849, 474, 894 i.e 3.

3. How can I use the GCD of 369, 849, 474, 894Calculator?

Out the numbers 369, 849, 474, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.