GCD of 320, 748, 261, 496 Calculator

Given Input numbers are 320, 748, 261, 496

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

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

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (320, 748, 261, 496) = 1.

Given numbers are 320, 748, 261, 496

The list of prime factors of all numbers are

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

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

Prime factors of 261 are 3 x 3 x 29

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 320, 748, 261, 496

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

Apply this formula for all numbers.

Step1:

LCM(320, 748) = 59840

GCD(320, 748) = ( 320 x 748 ) / 59840

= 320 / 748

= 320

Step2:

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

= 4 / 261

= 4

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 320, 748, 261, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 137, 304, 557
• GCD of 945, 951, 554, 479
• GCD of 652, 705, 351, 811
• GCD of 891, 183, 563, 955
• GCD of 758, 688, 653, 980

Given numbers are 320, 748, 261, 496
The greatest common divisor of numbers 320, 748, 261, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 748, 261, 496 is 1.

1. What is the GCD of 320, 748, 261, 496?

GCD of given numbers 320, 748, 261, 496 is 1

2. How to calculate the greatest common divisor of 320, 748, 261, 496?

We can find the highest common divisor of 320, 748, 261, 496 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 320, 748, 261, 496 i.e 1.

3. How can I use the GCD of 320, 748, 261, 496Calculator?

Out the numbers 320, 748, 261, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.