GCD of 565, 105, 215, 690 Calculator

Given Input numbers are 565, 105, 215, 690

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (565, 105, 215, 690) = 5.

Given numbers are 565, 105, 215, 690

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 105 are 3 x 5 x 7

Prime factors of 215 are 5 x 43

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 565, 105, 215, 690 is 5.

Given numbers are 565, 105, 215, 690

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

Apply this formula for all numbers.

Step1:

LCM(565, 105) = 11865

GCD(565, 105) = ( 565 x 105 ) / 11865

= 565 / 105

= 565

Step2:

LCM(5, 215) = 215

GCD(5, 215) = ( 5 x 215 ) / 215

= 5 / 215

= 5

Step3:

LCM(5, 690) = 690

GCD(5, 690) = ( 5 x 690 ) / 690

= 5 / 690

= 5

So, Greatest Common Divisor of 565, 105, 215, 690 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 145, 418, 226
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• GCD of 761, 566, 788, 587

Given numbers are 565, 105, 215, 690
The greatest common divisor of numbers 565, 105, 215, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 105, 215, 690 is 5.

1. What is the GCD of 565, 105, 215, 690?

GCD of given numbers 565, 105, 215, 690 is 5

2. How to calculate the greatest common divisor of 565, 105, 215, 690?

We can find the highest common divisor of 565, 105, 215, 690 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 565, 105, 215, 690 i.e 5.

3. How can I use the GCD of 565, 105, 215, 690Calculator?

Out the numbers 565, 105, 215, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.