GCD of 684, 410, 105, 315 Calculator

Given Input numbers are 684, 410, 105, 315

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 105 :

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

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (684, 410, 105, 315) = 1.

Given numbers are 684, 410, 105, 315

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 410 are 2 x 5 x 41

Prime factors of 105 are 3 x 5 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 684, 410, 105, 315

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

Apply this formula for all numbers.

Step1:

LCM(684, 410) = 140220

GCD(684, 410) = ( 684 x 410 ) / 140220

= 684 / 410

= 684

Step2:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 684, 410, 105, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 623, 327, 927
• GCD of 710, 839, 907, 403
• GCD of 182, 110, 802, 293
• GCD of 963, 817, 220, 349
• GCD of 222, 999, 865, 542

Given numbers are 684, 410, 105, 315
The greatest common divisor of numbers 684, 410, 105, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 410, 105, 315 is 1.

1. What is the GCD of 684, 410, 105, 315?

GCD of given numbers 684, 410, 105, 315 is 1

2. How to calculate the greatest common divisor of 684, 410, 105, 315?

We can find the highest common divisor of 684, 410, 105, 315 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 684, 410, 105, 315 i.e 1.

3. How can I use the GCD of 684, 410, 105, 315Calculator?

Out the numbers 684, 410, 105, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.