GCD of 689, 660, 295, 310 Calculator

Given Input numbers are 689, 660, 295, 310

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (689, 660, 295, 310) = 1.

Given numbers are 689, 660, 295, 310

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 295 are 5 x 59

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 689, 660, 295, 310

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

Apply this formula for all numbers.

Step1:

LCM(689, 660) = 454740

GCD(689, 660) = ( 689 x 660 ) / 454740

= 689 / 660

= 689

Step2:

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

= 1 / 295

= 1

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 689, 660, 295, 310 is 1

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• GCD of 556, 975, 916, 618
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Given numbers are 689, 660, 295, 310
The greatest common divisor of numbers 689, 660, 295, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 660, 295, 310 is 1.

1. What is the GCD of 689, 660, 295, 310?

GCD of given numbers 689, 660, 295, 310 is 1

2. How to calculate the greatest common divisor of 689, 660, 295, 310?

We can find the highest common divisor of 689, 660, 295, 310 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, 660, 295, 310 i.e 1.

3. How can I use the GCD of 689, 660, 295, 310Calculator?

Out the numbers 689, 660, 295, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.