GCD of 561, 209, 748, 665 Calculator

Given Input numbers are 561, 209, 748, 665

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

Divisors of 561 :

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

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

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 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

GCD of numbers is the greatest common divisor

So, the GCD (561, 209, 748, 665) = 1.

Given numbers are 561, 209, 748, 665

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 209 are 11 x 19

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

Prime factors of 665 are 5 x 7 x 19

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

Given numbers are 561, 209, 748, 665

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

Apply this formula for all numbers.

Step1:

LCM(561, 209) = 10659

GCD(561, 209) = ( 561 x 209 ) / 10659

= 561 / 209

= 561

Step2:

LCM(11, 748) = 748

GCD(11, 748) = ( 11 x 748 ) / 748

= 11 / 748

= 11

Step3:

LCM(11, 665) = 7315

GCD(11, 665) = ( 11 x 665 ) / 7315

= 11 / 665

= 11

So, Greatest Common Divisor of 561, 209, 748, 665 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 483, 411, 955
• GCD of 591, 419, 626, 631
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• GCD of 184, 577, 302, 977
• GCD of 634, 396, 765, 613

Given numbers are 561, 209, 748, 665
The greatest common divisor of numbers 561, 209, 748, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 209, 748, 665 is 1.

1. What is the GCD of 561, 209, 748, 665?

GCD of given numbers 561, 209, 748, 665 is 1

2. How to calculate the greatest common divisor of 561, 209, 748, 665?

We can find the highest common divisor of 561, 209, 748, 665 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 561, 209, 748, 665 i.e 1.

3. How can I use the GCD of 561, 209, 748, 665Calculator?

Out the numbers 561, 209, 748, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.