GCD of 680, 705, 375, 470 Calculator

Given Input numbers are 680, 705, 375, 470

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (680, 705, 375, 470) = 5.

Given numbers are 680, 705, 375, 470

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 705 are 3 x 5 x 47

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 680, 705, 375, 470 is 5.

Given numbers are 680, 705, 375, 470

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

Apply this formula for all numbers.

Step1:

LCM(680, 705) = 95880

GCD(680, 705) = ( 680 x 705 ) / 95880

= 680 / 705

= 680

Step2:

LCM(5, 375) = 375

GCD(5, 375) = ( 5 x 375 ) / 375

= 5 / 375

= 5

Step3:

LCM(5, 470) = 470

GCD(5, 470) = ( 5 x 470 ) / 470

= 5 / 470

= 5

So, Greatest Common Divisor of 680, 705, 375, 470 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 731, 712, 165
• GCD of 930, 667, 323, 617
• GCD of 960, 281, 763, 763
• GCD of 575, 192, 261, 713
• GCD of 236, 697, 386, 176

Given numbers are 680, 705, 375, 470
The greatest common divisor of numbers 680, 705, 375, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 705, 375, 470 is 5.

1. What is the GCD of 680, 705, 375, 470?

GCD of given numbers 680, 705, 375, 470 is 5

2. How to calculate the greatest common divisor of 680, 705, 375, 470?

We can find the highest common divisor of 680, 705, 375, 470 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 680, 705, 375, 470 i.e 5.

3. How can I use the GCD of 680, 705, 375, 470Calculator?

Out the numbers 680, 705, 375, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.