GCD of 981, 738, 814, 314 Calculator

Given Input numbers are 981, 738, 814, 314

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 814 :

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (981, 738, 814, 314) = 1.

Given numbers are 981, 738, 814, 314

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 814 are 2 x 11 x 37

Prime factors of 314 are 2 x 157

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

Given numbers are 981, 738, 814, 314

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

Apply this formula for all numbers.

Step1:

LCM(981, 738) = 80442

GCD(981, 738) = ( 981 x 738 ) / 80442

= 981 / 738

= 981

Step2:

LCM(9, 814) = 7326

GCD(9, 814) = ( 9 x 814 ) / 7326

= 9 / 814

= 9

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 981, 738, 814, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 225, 696, 215
• GCD of 694, 324, 193, 422
• GCD of 658, 691, 509, 270
• GCD of 608, 176, 366, 106
• GCD of 188, 771, 648, 738

Given numbers are 981, 738, 814, 314
The greatest common divisor of numbers 981, 738, 814, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 738, 814, 314 is 1.

1. What is the GCD of 981, 738, 814, 314?

GCD of given numbers 981, 738, 814, 314 is 1

2. How to calculate the greatest common divisor of 981, 738, 814, 314?

We can find the highest common divisor of 981, 738, 814, 314 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 981, 738, 814, 314 i.e 1.

3. How can I use the GCD of 981, 738, 814, 314Calculator?

Out the numbers 981, 738, 814, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.