GCD of 714, 221, 700, 371 Calculator

Given Input numbers are 714, 221, 700, 371

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 221 :

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

1, 13, 17, 221

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (714, 221, 700, 371) = 1.

Given numbers are 714, 221, 700, 371

The list of prime factors of all numbers are

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

Prime factors of 221 are 13 x 17

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 371 are 7 x 53

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

Given numbers are 714, 221, 700, 371

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

Apply this formula for all numbers.

Step1:

LCM(714, 221) = 9282

GCD(714, 221) = ( 714 x 221 ) / 9282

= 714 / 221

= 714

Step2:

LCM(17, 700) = 11900

GCD(17, 700) = ( 17 x 700 ) / 11900

= 17 / 700

= 17

Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

So, Greatest Common Divisor of 714, 221, 700, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 556, 361, 620
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• GCD of 339, 417, 799, 271

Given numbers are 714, 221, 700, 371
The greatest common divisor of numbers 714, 221, 700, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 221, 700, 371 is 1.

1. What is the GCD of 714, 221, 700, 371?

GCD of given numbers 714, 221, 700, 371 is 1

2. How to calculate the greatest common divisor of 714, 221, 700, 371?

We can find the highest common divisor of 714, 221, 700, 371 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, 221, 700, 371 i.e 1.

3. How can I use the GCD of 714, 221, 700, 371Calculator?

Out the numbers 714, 221, 700, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.