GCD of 689, 195, 550, 112 Calculator

Given Input numbers are 689, 195, 550, 112

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (689, 195, 550, 112) = 1.

Given numbers are 689, 195, 550, 112

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 195 are 3 x 5 x 13

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 689, 195, 550, 112

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

Apply this formula for all numbers.

Step1:

LCM(689, 195) = 10335

GCD(689, 195) = ( 689 x 195 ) / 10335

= 689 / 195

= 689

Step2:

LCM(13, 550) = 7150

GCD(13, 550) = ( 13 x 550 ) / 7150

= 13 / 550

= 13

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 689, 195, 550, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 293, 209, 763
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• GCD of 906, 426, 401, 483
• GCD of 716, 997, 903, 931
• GCD of 677, 151, 847, 426

Given numbers are 689, 195, 550, 112
The greatest common divisor of numbers 689, 195, 550, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 195, 550, 112 is 1.

1. What is the GCD of 689, 195, 550, 112?

GCD of given numbers 689, 195, 550, 112 is 1

2. How to calculate the greatest common divisor of 689, 195, 550, 112?

We can find the highest common divisor of 689, 195, 550, 112 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 689, 195, 550, 112 i.e 1.

3. How can I use the GCD of 689, 195, 550, 112Calculator?

Out the numbers 689, 195, 550, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.