GCD of 314, 861, 748, 681 Calculator

Given Input numbers are 314, 861, 748, 681

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

GCD of numbers is the greatest common divisor

So, the GCD (314, 861, 748, 681) = 1.

Given numbers are 314, 861, 748, 681

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 861 are 3 x 7 x 41

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 681 are 3 x 227

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

Given numbers are 314, 861, 748, 681

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

Apply this formula for all numbers.

Step1:

LCM(314, 861) = 270354

GCD(314, 861) = ( 314 x 861 ) / 270354

= 314 / 861

= 314

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

= 1 / 681

= 1

So, Greatest Common Divisor of 314, 861, 748, 681 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 468, 513, 233
• GCD of 295, 641, 389, 842
• GCD of 166, 400, 612, 927
• GCD of 209, 384, 569, 319
• GCD of 838, 206, 402, 112

Given numbers are 314, 861, 748, 681
The greatest common divisor of numbers 314, 861, 748, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 861, 748, 681 is 1.

1. What is the GCD of 314, 861, 748, 681?

GCD of given numbers 314, 861, 748, 681 is 1

2. How to calculate the greatest common divisor of 314, 861, 748, 681?

We can find the highest common divisor of 314, 861, 748, 681 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 314, 861, 748, 681 i.e 1.

3. How can I use the GCD of 314, 861, 748, 681Calculator?

Out the numbers 314, 861, 748, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.