GCD of 785, 800, 225, 714 Calculator

Given Input numbers are 785, 800, 225, 714

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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

GCD of numbers is the greatest common divisor

So, the GCD (785, 800, 225, 714) = 1.

Given numbers are 785, 800, 225, 714

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

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

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

Given numbers are 785, 800, 225, 714

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

Apply this formula for all numbers.

Step1:

LCM(785, 800) = 125600

GCD(785, 800) = ( 785 x 800 ) / 125600

= 785 / 800

= 785

Step2:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

Step3:

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

= 5 / 714

= 5

So, Greatest Common Divisor of 785, 800, 225, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 521, 549, 298
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• GCD of 951, 279, 387, 617
• GCD of 101, 330, 362, 575
• GCD of 155, 259, 691, 738

Given numbers are 785, 800, 225, 714
The greatest common divisor of numbers 785, 800, 225, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 800, 225, 714 is 1.

1. What is the GCD of 785, 800, 225, 714?

GCD of given numbers 785, 800, 225, 714 is 1

2. How to calculate the greatest common divisor of 785, 800, 225, 714?

We can find the highest common divisor of 785, 800, 225, 714 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 785, 800, 225, 714 i.e 1.

3. How can I use the GCD of 785, 800, 225, 714Calculator?

Out the numbers 785, 800, 225, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.