GCD of 785, 224, 689 Calculator

Given Input numbers are 785, 224, 689

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (785, 224, 689) = 1.

Given numbers are 785, 224, 689

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 689 are 13 x 53

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

Given numbers are 785, 224, 689

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

Apply this formula for all numbers.

Step1:

LCM(785, 224) = 175840

GCD(785, 224) = ( 785 x 224 ) / 175840

= 785 / 224

= 785

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 785, 224, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 782, 812
• GCD of 108, 423, 523
• GCD of 832, 726, 656
• GCD of 484, 328, 268
• GCD of 631, 155, 813

Given numbers are 785, 224, 689
The greatest common divisor of numbers 785, 224, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 224, 689 is 1.

1. What is the GCD of 785, 224, 689?

GCD of given numbers 785, 224, 689 is 1

2. How to calculate the greatest common divisor of 785, 224, 689?

We can find the highest common divisor of 785, 224, 689 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 785, 224, 689 i.e 1.

3. How can I use the GCD of 785, 224, 689Calculator?

Out the numbers 785, 224, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.