GCD of 712, 889, 814, 313 Calculator

Given Input numbers are 712, 889, 814, 313

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (712, 889, 814, 313) = 1.

Given numbers are 712, 889, 814, 313

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 889 are 7 x 127

Prime factors of 814 are 2 x 11 x 37

Prime factors of 313 are 313

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

Given numbers are 712, 889, 814, 313

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

Apply this formula for all numbers.

Step1:

LCM(712, 889) = 632968

GCD(712, 889) = ( 712 x 889 ) / 632968

= 712 / 889

= 712

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 712, 889, 814, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 704, 230, 663
• GCD of 968, 598, 953, 461
• GCD of 439, 275, 454, 435
• GCD of 403, 798, 281, 568
• GCD of 782, 572, 351, 357

Given numbers are 712, 889, 814, 313
The greatest common divisor of numbers 712, 889, 814, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 889, 814, 313 is 1.

1. What is the GCD of 712, 889, 814, 313?

GCD of given numbers 712, 889, 814, 313 is 1

2. How to calculate the greatest common divisor of 712, 889, 814, 313?

We can find the highest common divisor of 712, 889, 814, 313 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 712, 889, 814, 313 i.e 1.

3. How can I use the GCD of 712, 889, 814, 313Calculator?

Out the numbers 712, 889, 814, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.