GCD of 938, 413, 196, 299 Calculator

Given Input numbers are 938, 413, 196, 299

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (938, 413, 196, 299) = 1.

Given numbers are 938, 413, 196, 299

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 413 are 7 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 299 are 13 x 23

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

Given numbers are 938, 413, 196, 299

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

Apply this formula for all numbers.

Step1:

LCM(938, 413) = 55342

GCD(938, 413) = ( 938 x 413 ) / 55342

= 938 / 413

= 938

Step2:

LCM(7, 196) = 196

GCD(7, 196) = ( 7 x 196 ) / 196

= 7 / 196

= 7

Step3:

LCM(7, 299) = 2093

GCD(7, 299) = ( 7 x 299 ) / 2093

= 7 / 299

= 7

So, Greatest Common Divisor of 938, 413, 196, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 672, 707, 322
• GCD of 371, 778, 671, 698
• GCD of 932, 327, 838, 934
• GCD of 961, 750, 811, 516
• GCD of 746, 850, 744, 256

Given numbers are 938, 413, 196, 299
The greatest common divisor of numbers 938, 413, 196, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 413, 196, 299 is 1.

1. What is the GCD of 938, 413, 196, 299?

GCD of given numbers 938, 413, 196, 299 is 1

2. How to calculate the greatest common divisor of 938, 413, 196, 299?

We can find the highest common divisor of 938, 413, 196, 299 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 938, 413, 196, 299 i.e 1.

3. How can I use the GCD of 938, 413, 196, 299Calculator?

Out the numbers 938, 413, 196, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.