GCD of 271, 320, 748, 495 Calculator

Given Input numbers are 271, 320, 748, 495

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

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (271, 320, 748, 495) = 1.

Given numbers are 271, 320, 748, 495

The list of prime factors of all numbers are

Prime factors of 271 are 271

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 495 are 3 x 3 x 5 x 11

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

Given numbers are 271, 320, 748, 495

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

Apply this formula for all numbers.

Step1:

LCM(271, 320) = 86720

GCD(271, 320) = ( 271 x 320 ) / 86720

= 271 / 320

= 271

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 271, 320, 748, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 199, 695, 448
• GCD of 531, 232, 466, 973
• GCD of 475, 912, 370, 534
• GCD of 973, 533, 622, 767
• GCD of 478, 650, 131, 114

Given numbers are 271, 320, 748, 495
The greatest common divisor of numbers 271, 320, 748, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 320, 748, 495 is 1.

1. What is the GCD of 271, 320, 748, 495?

GCD of given numbers 271, 320, 748, 495 is 1

2. How to calculate the greatest common divisor of 271, 320, 748, 495?

We can find the highest common divisor of 271, 320, 748, 495 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 271, 320, 748, 495 i.e 1.

3. How can I use the GCD of 271, 320, 748, 495Calculator?

Out the numbers 271, 320, 748, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.