GCD of 213, 357, 838, 101 Calculator

Given Input numbers are 213, 357, 838, 101

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

GCD of numbers is the greatest common divisor

So, the GCD (213, 357, 838, 101) = 1.

Given numbers are 213, 357, 838, 101

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 357 are 3 x 7 x 17

Prime factors of 838 are 2 x 419

Prime factors of 101 are 101

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

Given numbers are 213, 357, 838, 101

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

Apply this formula for all numbers.

Step1:

LCM(213, 357) = 25347

GCD(213, 357) = ( 213 x 357 ) / 25347

= 213 / 357

= 213

Step2:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3

Step3:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1

So, Greatest Common Divisor of 213, 357, 838, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 234, 778, 970
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Given numbers are 213, 357, 838, 101
The greatest common divisor of numbers 213, 357, 838, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 357, 838, 101 is 1.

1. What is the GCD of 213, 357, 838, 101?

GCD of given numbers 213, 357, 838, 101 is 1

2. How to calculate the greatest common divisor of 213, 357, 838, 101?

We can find the highest common divisor of 213, 357, 838, 101 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 213, 357, 838, 101 i.e 1.

3. How can I use the GCD of 213, 357, 838, 101Calculator?

Out the numbers 213, 357, 838, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.