GCD of 685, 705, 315, 338 Calculator

Given Input numbers are 685, 705, 315, 338

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 705 :

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

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

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (685, 705, 315, 338) = 1.

Given numbers are 685, 705, 315, 338

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 685, 705, 315, 338

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

Apply this formula for all numbers.

Step1:

LCM(685, 705) = 96585

GCD(685, 705) = ( 685 x 705 ) / 96585

= 685 / 705

= 685

Step2:

LCM(5, 315) = 315

GCD(5, 315) = ( 5 x 315 ) / 315

= 5 / 315

= 5

Step3:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

So, Greatest Common Divisor of 685, 705, 315, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 473, 892, 514
• GCD of 786, 882, 935, 383
• GCD of 657, 408, 324, 294
• GCD of 871, 444, 505, 465
• GCD of 420, 536, 308, 952

Given numbers are 685, 705, 315, 338
The greatest common divisor of numbers 685, 705, 315, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 705, 315, 338 is 1.

1. What is the GCD of 685, 705, 315, 338?

GCD of given numbers 685, 705, 315, 338 is 1

2. How to calculate the greatest common divisor of 685, 705, 315, 338?

We can find the highest common divisor of 685, 705, 315, 338 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 685, 705, 315, 338 i.e 1.

3. How can I use the GCD of 685, 705, 315, 338Calculator?

Out the numbers 685, 705, 315, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.