GCD of 748, 126, 394, 320 Calculator

Given Input numbers are 748, 126, 394, 320

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (748, 126, 394, 320) = 2.

Given numbers are 748, 126, 394, 320

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 394 are 2 x 197

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 748, 126, 394, 320 is 2.

Given numbers are 748, 126, 394, 320

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

Apply this formula for all numbers.

Step1:

LCM(748, 126) = 47124

GCD(748, 126) = ( 748 x 126 ) / 47124

= 748 / 126

= 748

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 748, 126, 394, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 313, 390, 931
• GCD of 145, 372, 968, 972
• GCD of 571, 869, 925, 894
• GCD of 161, 617, 720, 912
• GCD of 300, 896, 143, 560

Given numbers are 748, 126, 394, 320
The greatest common divisor of numbers 748, 126, 394, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 126, 394, 320 is 2.

1. What is the GCD of 748, 126, 394, 320?

GCD of given numbers 748, 126, 394, 320 is 2

2. How to calculate the greatest common divisor of 748, 126, 394, 320?

We can find the highest common divisor of 748, 126, 394, 320 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 748, 126, 394, 320 i.e 2.

3. How can I use the GCD of 748, 126, 394, 320Calculator?

Out the numbers 748, 126, 394, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.