GCD of 710, 400, 390 Calculator

Given Input numbers are 710, 400, 390

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (710, 400, 390) = 10.

Given numbers are 710, 400, 390

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 710, 400, 390 is 10.

Given numbers are 710, 400, 390

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

Apply this formula for all numbers.

Step1:

LCM(710, 400) = 28400

GCD(710, 400) = ( 710 x 400 ) / 28400

= 710 / 400

= 710

Step2:

LCM(10, 390) = 390

GCD(10, 390) = ( 10 x 390 ) / 390

= 10 / 390

= 10

So, Greatest Common Divisor of 710, 400, 390 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 509, 607
• GCD of 419, 881, 656
• GCD of 208, 927, 700
• GCD of 220, 925, 324
• GCD of 593, 830, 908

Given numbers are 710, 400, 390
The greatest common divisor of numbers 710, 400, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 400, 390 is 10.

1. What is the GCD of 710, 400, 390?

GCD of given numbers 710, 400, 390 is 10

2. How to calculate the greatest common divisor of 710, 400, 390?

We can find the highest common divisor of 710, 400, 390 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 710, 400, 390 i.e 10.

3. How can I use the GCD of 710, 400, 390Calculator?

Out the numbers 710, 400, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.