GCD of 846, 378, 198, 249 Calculator

Given Input numbers are 846, 378, 198, 249

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (846, 378, 198, 249) = 3.

Given numbers are 846, 378, 198, 249

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 846, 378, 198, 249 is 3.

Given numbers are 846, 378, 198, 249

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

Apply this formula for all numbers.

Step1:

LCM(846, 378) = 17766

GCD(846, 378) = ( 846 x 378 ) / 17766

= 846 / 378

= 846

Step2:

LCM(18, 198) = 198

GCD(18, 198) = ( 18 x 198 ) / 198

= 18 / 198

= 18

Step3:

LCM(18, 249) = 1494

GCD(18, 249) = ( 18 x 249 ) / 1494

= 18 / 249

= 18

So, Greatest Common Divisor of 846, 378, 198, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 708, 527, 461
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• GCD of 606, 279, 292, 690
• GCD of 867, 564, 221, 358
• GCD of 956, 504, 758, 436

Given numbers are 846, 378, 198, 249
The greatest common divisor of numbers 846, 378, 198, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 378, 198, 249 is 3.

1. What is the GCD of 846, 378, 198, 249?

GCD of given numbers 846, 378, 198, 249 is 3

2. How to calculate the greatest common divisor of 846, 378, 198, 249?

We can find the highest common divisor of 846, 378, 198, 249 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, 378, 198, 249 i.e 3.

3. How can I use the GCD of 846, 378, 198, 249Calculator?

Out the numbers 846, 378, 198, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.