GCD of 238, 441, 812, 147 Calculator

Given Input numbers are 238, 441, 812, 147

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (238, 441, 812, 147) = 7.

Given numbers are 238, 441, 812, 147

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 238, 441, 812, 147 is 7.

Given numbers are 238, 441, 812, 147

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

Apply this formula for all numbers.

Step1:

LCM(238, 441) = 14994

GCD(238, 441) = ( 238 x 441 ) / 14994

= 238 / 441

= 238

Step2:

LCM(7, 812) = 812

GCD(7, 812) = ( 7 x 812 ) / 812

= 7 / 812

= 7

Step3:

LCM(7, 147) = 147

GCD(7, 147) = ( 7 x 147 ) / 147

= 7 / 147

= 7

So, Greatest Common Divisor of 238, 441, 812, 147 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 151, 481, 429
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Given numbers are 238, 441, 812, 147
The greatest common divisor of numbers 238, 441, 812, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 441, 812, 147 is 7.

1. What is the GCD of 238, 441, 812, 147?

GCD of given numbers 238, 441, 812, 147 is 7

2. How to calculate the greatest common divisor of 238, 441, 812, 147?

We can find the highest common divisor of 238, 441, 812, 147 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 238, 441, 812, 147 i.e 7.

3. How can I use the GCD of 238, 441, 812, 147Calculator?

Out the numbers 238, 441, 812, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.