GCD of 271, 387, 748, 754 Calculator

Given Input numbers are 271, 387, 748, 754

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

GCD of numbers is the greatest common divisor

So, the GCD (271, 387, 748, 754) = 1.

Given numbers are 271, 387, 748, 754

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 387 are 3 x 3 x 43

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

Prime factors of 754 are 2 x 13 x 29

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

Given numbers are 271, 387, 748, 754

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

Apply this formula for all numbers.

Step1:

LCM(271, 387) = 104877

GCD(271, 387) = ( 271 x 387 ) / 104877

= 271 / 387

= 271

Step2:

LCM(1, 748) = 748

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

= 1 / 748

= 1

Step3:

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

= 1 / 754

= 1

So, Greatest Common Divisor of 271, 387, 748, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 312, 741, 255
• GCD of 612, 413, 930, 150
• GCD of 426, 634, 266, 527
• GCD of 111, 205, 668, 874
• GCD of 249, 992, 295, 311

Given numbers are 271, 387, 748, 754
The greatest common divisor of numbers 271, 387, 748, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 387, 748, 754 is 1.

1. What is the GCD of 271, 387, 748, 754?

GCD of given numbers 271, 387, 748, 754 is 1

2. How to calculate the greatest common divisor of 271, 387, 748, 754?

We can find the highest common divisor of 271, 387, 748, 754 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, 387, 748, 754 i.e 1.

3. How can I use the GCD of 271, 387, 748, 754Calculator?

Out the numbers 271, 387, 748, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.