GCD of 392, 938, 578, 126 Calculator

Given Input numbers are 392, 938, 578, 126

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 938 :

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

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (392, 938, 578, 126) = 2.

Given numbers are 392, 938, 578, 126

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 938 are 2 x 7 x 67

Prime factors of 578 are 2 x 17 x 17

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 392, 938, 578, 126 is 2.

Given numbers are 392, 938, 578, 126

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

Apply this formula for all numbers.

Step1:

LCM(392, 938) = 26264

GCD(392, 938) = ( 392 x 938 ) / 26264

= 392 / 938

= 392

Step2:

LCM(14, 578) = 4046

GCD(14, 578) = ( 14 x 578 ) / 4046

= 14 / 578

= 14

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 392, 938, 578, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 460, 652, 798
• GCD of 898, 466, 539, 997
• GCD of 127, 434, 904, 437
• GCD of 973, 857, 357, 951
• GCD of 841, 877, 973, 636

Given numbers are 392, 938, 578, 126
The greatest common divisor of numbers 392, 938, 578, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 938, 578, 126 is 2.

1. What is the GCD of 392, 938, 578, 126?

GCD of given numbers 392, 938, 578, 126 is 2

2. How to calculate the greatest common divisor of 392, 938, 578, 126?

We can find the highest common divisor of 392, 938, 578, 126 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 392, 938, 578, 126 i.e 2.

3. How can I use the GCD of 392, 938, 578, 126Calculator?

Out the numbers 392, 938, 578, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.