GCD of 561, 338, 700, 666 Calculator

Given Input numbers are 561, 338, 700, 666

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (561, 338, 700, 666) = 1.

Given numbers are 561, 338, 700, 666

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 338 are 2 x 13 x 13

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 666 are 2 x 3 x 3 x 37

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

Given numbers are 561, 338, 700, 666

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

Apply this formula for all numbers.

Step1:

LCM(561, 338) = 189618

GCD(561, 338) = ( 561 x 338 ) / 189618

= 561 / 338

= 561

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

= 1 / 666

= 1

So, Greatest Common Divisor of 561, 338, 700, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 494, 575, 350
• GCD of 497, 483, 751, 106
• GCD of 926, 347, 111, 151
• GCD of 605, 228, 957, 170
• GCD of 400, 409, 189, 442

Given numbers are 561, 338, 700, 666
The greatest common divisor of numbers 561, 338, 700, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 338, 700, 666 is 1.

1. What is the GCD of 561, 338, 700, 666?

GCD of given numbers 561, 338, 700, 666 is 1

2. How to calculate the greatest common divisor of 561, 338, 700, 666?

We can find the highest common divisor of 561, 338, 700, 666 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, 338, 700, 666 i.e 1.

3. How can I use the GCD of 561, 338, 700, 666Calculator?

Out the numbers 561, 338, 700, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.