GCD of 187, 378, 946, 343 Calculator

Given Input numbers are 187, 378, 946, 343

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

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (187, 378, 946, 343) = 1.

Given numbers are 187, 378, 946, 343

The list of prime factors of all numbers are

Prime factors of 187 are 11 x 17

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

Prime factors of 946 are 2 x 11 x 43

Prime factors of 343 are 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 187, 378, 946, 343

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

Apply this formula for all numbers.

Step1:

LCM(187, 378) = 70686

GCD(187, 378) = ( 187 x 378 ) / 70686

= 187 / 378

= 187

Step2:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 187, 378, 946, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 427, 414, 154
• GCD of 318, 368, 479, 594
• GCD of 812, 309, 944, 350
• GCD of 775, 407, 204, 266
• GCD of 579, 442, 287, 522

Given numbers are 187, 378, 946, 343
The greatest common divisor of numbers 187, 378, 946, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 378, 946, 343 is 1.

1. What is the GCD of 187, 378, 946, 343?

GCD of given numbers 187, 378, 946, 343 is 1

2. How to calculate the greatest common divisor of 187, 378, 946, 343?

We can find the highest common divisor of 187, 378, 946, 343 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 187, 378, 946, 343 i.e 1.

3. How can I use the GCD of 187, 378, 946, 343Calculator?

Out the numbers 187, 378, 946, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.