GCD of 714, 681, 361, 465 Calculator

Given Input numbers are 714, 681, 361, 465

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 681 :

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

1, 3, 227, 681

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (714, 681, 361, 465) = 1.

Given numbers are 714, 681, 361, 465

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 681 are 3 x 227

Prime factors of 361 are 19 x 19

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 714, 681, 361, 465

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

Apply this formula for all numbers.

Step1:

LCM(714, 681) = 162078

GCD(714, 681) = ( 714 x 681 ) / 162078

= 714 / 681

= 714

Step2:

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

= 3 / 361

= 3

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 714, 681, 361, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 109, 696, 293
• GCD of 526, 895, 425, 328
• GCD of 938, 621, 815, 647
• GCD of 168, 491, 556, 924
• GCD of 772, 298, 449, 415

Given numbers are 714, 681, 361, 465
The greatest common divisor of numbers 714, 681, 361, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 681, 361, 465 is 1.

1. What is the GCD of 714, 681, 361, 465?

GCD of given numbers 714, 681, 361, 465 is 1

2. How to calculate the greatest common divisor of 714, 681, 361, 465?

We can find the highest common divisor of 714, 681, 361, 465 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 714, 681, 361, 465 i.e 1.

3. How can I use the GCD of 714, 681, 361, 465Calculator?

Out the numbers 714, 681, 361, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.