GCD of 705, 108, 397, 658 Calculator

Given Input numbers are 705, 108, 397, 658

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

Divisors of 705 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (705, 108, 397, 658) = 1.

Given numbers are 705, 108, 397, 658

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 397 are 397

Prime factors of 658 are 2 x 7 x 47

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

Given numbers are 705, 108, 397, 658

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

Apply this formula for all numbers.

Step1:

LCM(705, 108) = 25380

GCD(705, 108) = ( 705 x 108 ) / 25380

= 705 / 108

= 705

Step2:

LCM(3, 397) = 1191

GCD(3, 397) = ( 3 x 397 ) / 1191

= 3 / 397

= 3

Step3:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

So, Greatest Common Divisor of 705, 108, 397, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 868, 636, 994
• GCD of 931, 115, 842, 141
• GCD of 757, 396, 491, 934
• GCD of 533, 814, 704, 546
• GCD of 727, 481, 538, 442

Given numbers are 705, 108, 397, 658
The greatest common divisor of numbers 705, 108, 397, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 108, 397, 658 is 1.

1. What is the GCD of 705, 108, 397, 658?

GCD of given numbers 705, 108, 397, 658 is 1

2. How to calculate the greatest common divisor of 705, 108, 397, 658?

We can find the highest common divisor of 705, 108, 397, 658 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 705, 108, 397, 658 i.e 1.

3. How can I use the GCD of 705, 108, 397, 658Calculator?

Out the numbers 705, 108, 397, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.