GCD of 561, 680, 153 Calculator

Given Input numbers are 561, 680, 153

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (561, 680, 153) = 17.

Given numbers are 561, 680, 153

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 17¹

Therefore, GCD of 561, 680, 153 is 17.

Given numbers are 561, 680, 153

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

Apply this formula for all numbers.

Step1:

LCM(561, 680) = 22440

GCD(561, 680) = ( 561 x 680 ) / 22440

= 561 / 680

= 561

Step2:

LCM(17, 153) = 153

GCD(17, 153) = ( 17 x 153 ) / 153

= 17 / 153

= 17

So, Greatest Common Divisor of 561, 680, 153 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 319, 105
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Given numbers are 561, 680, 153
The greatest common divisor of numbers 561, 680, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 680, 153 is 17.

1. What is the GCD of 561, 680, 153?

GCD of given numbers 561, 680, 153 is 17

2. How to calculate the greatest common divisor of 561, 680, 153?

We can find the highest common divisor of 561, 680, 153 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, 680, 153 i.e 17.

3. How can I use the GCD of 561, 680, 153Calculator?

Out the numbers 561, 680, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.