GCD of 560, 550, 69, 209 Calculator

Given Input numbers are 560, 550, 69, 209

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 209 :

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

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (560, 550, 69, 209) = 1.

Given numbers are 560, 550, 69, 209

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 69 are 3 x 23

Prime factors of 209 are 11 x 19

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

Given numbers are 560, 550, 69, 209

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

Apply this formula for all numbers.

Step1:

LCM(560, 550) = 30800

GCD(560, 550) = ( 560 x 550 ) / 30800

= 560 / 550

= 560

Step2:

LCM(10, 69) = 690

GCD(10, 69) = ( 10 x 69 ) / 690

= 10 / 69

= 10

Step3:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 560, 550, 69, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 123, 31, 683
• GCD of 696, 436, 98, 197
• GCD of 740, 799, 48, 676
• GCD of 493, 190, 72, 687
• GCD of 254, 357, 39, 681

Given numbers are 560, 550, 69, 209
The greatest common divisor of numbers 560, 550, 69, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 550, 69, 209 is 1.

1. What is the GCD of 560, 550, 69, 209?

GCD of given numbers 560, 550, 69, 209 is 1

2. How to calculate the greatest common divisor of 560, 550, 69, 209?

We can find the highest common divisor of 560, 550, 69, 209 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 560, 550, 69, 209 i.e 1.

3. How can I use the GCD of 560, 550, 69, 209Calculator?

Out the numbers 560, 550, 69, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.