GCD of 670, 830, 395, 105 Calculator

Given Input numbers are 670, 830, 395, 105

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (670, 830, 395, 105) = 5.

Given numbers are 670, 830, 395, 105

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 830 are 2 x 5 x 83

Prime factors of 395 are 5 x 79

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 670, 830, 395, 105 is 5.

Given numbers are 670, 830, 395, 105

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

Apply this formula for all numbers.

Step1:

LCM(670, 830) = 55610

GCD(670, 830) = ( 670 x 830 ) / 55610

= 670 / 830

= 670

Step2:

LCM(10, 395) = 790

GCD(10, 395) = ( 10 x 395 ) / 790

= 10 / 395

= 10

Step3:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

So, Greatest Common Divisor of 670, 830, 395, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 968, 811, 735
• GCD of 833, 306, 788, 829
• GCD of 815, 860, 384, 315
• GCD of 431, 118, 891, 584
• GCD of 577, 108, 386, 570

Given numbers are 670, 830, 395, 105
The greatest common divisor of numbers 670, 830, 395, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 830, 395, 105 is 5.

1. What is the GCD of 670, 830, 395, 105?

GCD of given numbers 670, 830, 395, 105 is 5

2. How to calculate the greatest common divisor of 670, 830, 395, 105?

We can find the highest common divisor of 670, 830, 395, 105 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 670, 830, 395, 105 i.e 5.

3. How can I use the GCD of 670, 830, 395, 105Calculator?

Out the numbers 670, 830, 395, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.