GCD of 931, 217, 210, 238 Calculator

Given Input numbers are 931, 217, 210, 238

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

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 238 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (931, 217, 210, 238) = 7.

Given numbers are 931, 217, 210, 238

The list of prime factors of all numbers are

Prime factors of 931 are 7 x 7 x 19

Prime factors of 217 are 7 x 31

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 931, 217, 210, 238 is 7.

Given numbers are 931, 217, 210, 238

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

Apply this formula for all numbers.

Step1:

LCM(931, 217) = 28861

GCD(931, 217) = ( 931 x 217 ) / 28861

= 931 / 217

= 931

Step2:

LCM(7, 210) = 210

GCD(7, 210) = ( 7 x 210 ) / 210

= 7 / 210

= 7

Step3:

LCM(7, 238) = 238

GCD(7, 238) = ( 7 x 238 ) / 238

= 7 / 238

= 7

So, Greatest Common Divisor of 931, 217, 210, 238 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 665, 351, 825
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• GCD of 692, 491, 795, 164

Given numbers are 931, 217, 210, 238
The greatest common divisor of numbers 931, 217, 210, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 931, 217, 210, 238 is 7.

1. What is the GCD of 931, 217, 210, 238?

GCD of given numbers 931, 217, 210, 238 is 7

2. How to calculate the greatest common divisor of 931, 217, 210, 238?

We can find the highest common divisor of 931, 217, 210, 238 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 931, 217, 210, 238 i.e 7.

3. How can I use the GCD of 931, 217, 210, 238Calculator?

Out the numbers 931, 217, 210, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.