GCD of 424, 689, 610 Calculator

Given Input numbers are 424, 689, 610

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (424, 689, 610) = 1.

Given numbers are 424, 689, 610

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 689 are 13 x 53

Prime factors of 610 are 2 x 5 x 61

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

Given numbers are 424, 689, 610

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

Apply this formula for all numbers.

Step1:

LCM(424, 689) = 5512

GCD(424, 689) = ( 424 x 689 ) / 5512

= 424 / 689

= 424

Step2:

LCM(53, 610) = 32330

GCD(53, 610) = ( 53 x 610 ) / 32330

= 53 / 610

= 53

So, Greatest Common Divisor of 424, 689, 610 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 752, 716
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Given numbers are 424, 689, 610
The greatest common divisor of numbers 424, 689, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 689, 610 is 1.

1. What is the GCD of 424, 689, 610?

GCD of given numbers 424, 689, 610 is 1

2. How to calculate the greatest common divisor of 424, 689, 610?

We can find the highest common divisor of 424, 689, 610 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 424, 689, 610 i.e 1.

3. How can I use the GCD of 424, 689, 610Calculator?

Out the numbers 424, 689, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.