GCD of 727, 748, 560, 349 Calculator

Given Input numbers are 727, 748, 560, 349

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

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (727, 748, 560, 349) = 1.

Given numbers are 727, 748, 560, 349

The list of prime factors of all numbers are

Prime factors of 727 are 727

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 349 are 349

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

Given numbers are 727, 748, 560, 349

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

Apply this formula for all numbers.

Step1:

LCM(727, 748) = 543796

GCD(727, 748) = ( 727 x 748 ) / 543796

= 727 / 748

= 727

Step2:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 727, 748, 560, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 748, 360, 862
• GCD of 271, 937, 698, 410
• GCD of 223, 978, 929, 143
• GCD of 346, 820, 646, 491
• GCD of 354, 415, 471, 530

Given numbers are 727, 748, 560, 349
The greatest common divisor of numbers 727, 748, 560, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 727, 748, 560, 349 is 1.

1. What is the GCD of 727, 748, 560, 349?

GCD of given numbers 727, 748, 560, 349 is 1

2. How to calculate the greatest common divisor of 727, 748, 560, 349?

We can find the highest common divisor of 727, 748, 560, 349 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 727, 748, 560, 349 i.e 1.

3. How can I use the GCD of 727, 748, 560, 349Calculator?

Out the numbers 727, 748, 560, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.