GCD of 748, 362, 713, 561 Calculator

Given Input numbers are 748, 362, 713, 561

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

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (748, 362, 713, 561) = 1.

Given numbers are 748, 362, 713, 561

The list of prime factors of all numbers are

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

Prime factors of 362 are 2 x 181

Prime factors of 713 are 23 x 31

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 748, 362, 713, 561

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

Apply this formula for all numbers.

Step1:

LCM(748, 362) = 135388

GCD(748, 362) = ( 748 x 362 ) / 135388

= 748 / 362

= 748

Step2:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 748, 362, 713, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 718, 300, 959
• GCD of 685, 563, 243, 993
• GCD of 183, 749, 502, 560
• GCD of 501, 702, 389, 250
• GCD of 970, 358, 641, 790

Given numbers are 748, 362, 713, 561
The greatest common divisor of numbers 748, 362, 713, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 362, 713, 561 is 1.

1. What is the GCD of 748, 362, 713, 561?

GCD of given numbers 748, 362, 713, 561 is 1

2. How to calculate the greatest common divisor of 748, 362, 713, 561?

We can find the highest common divisor of 748, 362, 713, 561 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 748, 362, 713, 561 i.e 1.

3. How can I use the GCD of 748, 362, 713, 561Calculator?

Out the numbers 748, 362, 713, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.