GCD of 938, 406, 224, 133 Calculator

Given Input numbers are 938, 406, 224, 133

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

GCD of numbers is the greatest common divisor

So, the GCD (938, 406, 224, 133) = 7.

Given numbers are 938, 406, 224, 133

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 406 are 2 x 7 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 133 are 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 938, 406, 224, 133 is 7.

Given numbers are 938, 406, 224, 133

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

Apply this formula for all numbers.

Step1:

LCM(938, 406) = 27202

GCD(938, 406) = ( 938 x 406 ) / 27202

= 938 / 406

= 938

Step2:

LCM(14, 224) = 224

GCD(14, 224) = ( 14 x 224 ) / 224

= 14 / 224

= 14

Step3:

LCM(14, 133) = 266

GCD(14, 133) = ( 14 x 133 ) / 266

= 14 / 133

= 14

So, Greatest Common Divisor of 938, 406, 224, 133 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 922, 736, 450
• GCD of 230, 617, 312, 205
• GCD of 783, 700, 212, 265
• GCD of 728, 905, 502, 547
• GCD of 992, 829, 592, 113

Given numbers are 938, 406, 224, 133
The greatest common divisor of numbers 938, 406, 224, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 406, 224, 133 is 7.

1. What is the GCD of 938, 406, 224, 133?

GCD of given numbers 938, 406, 224, 133 is 7

2. How to calculate the greatest common divisor of 938, 406, 224, 133?

We can find the highest common divisor of 938, 406, 224, 133 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, 406, 224, 133 i.e 7.

3. How can I use the GCD of 938, 406, 224, 133Calculator?

Out the numbers 938, 406, 224, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.