GCD of 107, 221, 714, 931 Calculator

Given Input numbers are 107, 221, 714, 931

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

GCD of numbers is the greatest common divisor

So, the GCD (107, 221, 714, 931) = 1.

Given numbers are 107, 221, 714, 931

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 221 are 13 x 17

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

Prime factors of 931 are 7 x 7 x 19

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

Given numbers are 107, 221, 714, 931

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

Apply this formula for all numbers.

Step1:

LCM(107, 221) = 23647

GCD(107, 221) = ( 107 x 221 ) / 23647

= 107 / 221

= 107

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

= 1 / 931

= 1

So, Greatest Common Divisor of 107, 221, 714, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 765, 171, 806
• GCD of 708, 756, 315, 354
• GCD of 661, 733, 290, 809
• GCD of 827, 810, 870, 610
• GCD of 637, 158, 129, 699

Given numbers are 107, 221, 714, 931
The greatest common divisor of numbers 107, 221, 714, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 221, 714, 931 is 1.

1. What is the GCD of 107, 221, 714, 931?

GCD of given numbers 107, 221, 714, 931 is 1

2. How to calculate the greatest common divisor of 107, 221, 714, 931?

We can find the highest common divisor of 107, 221, 714, 931 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 107, 221, 714, 931 i.e 1.

3. How can I use the GCD of 107, 221, 714, 931Calculator?

Out the numbers 107, 221, 714, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.