GCD of 916, 270, 267, 748 Calculator

Given Input numbers are 916, 270, 267, 748

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 270, 267, 748) = 1.

Given numbers are 916, 270, 267, 748

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 267 are 3 x 89

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

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

Given numbers are 916, 270, 267, 748

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

Apply this formula for all numbers.

Step1:

LCM(916, 270) = 123660

GCD(916, 270) = ( 916 x 270 ) / 123660

= 916 / 270

= 916

Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 916, 270, 267, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 722, 190, 905
• GCD of 386, 387, 433, 106
• GCD of 505, 659, 157, 973
• GCD of 682, 699, 709, 794
• GCD of 481, 240, 379, 972

Given numbers are 916, 270, 267, 748
The greatest common divisor of numbers 916, 270, 267, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 270, 267, 748 is 1.

1. What is the GCD of 916, 270, 267, 748?

GCD of given numbers 916, 270, 267, 748 is 1

2. How to calculate the greatest common divisor of 916, 270, 267, 748?

We can find the highest common divisor of 916, 270, 267, 748 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 916, 270, 267, 748 i.e 1.

3. How can I use the GCD of 916, 270, 267, 748Calculator?

Out the numbers 916, 270, 267, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.