GCD of 705, 201, 682, 427 Calculator

Given Input numbers are 705, 201, 682, 427

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (705, 201, 682, 427) = 1.

Given numbers are 705, 201, 682, 427

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 201 are 3 x 67

Prime factors of 682 are 2 x 11 x 31

Prime factors of 427 are 7 x 61

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

Given numbers are 705, 201, 682, 427

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

Apply this formula for all numbers.

Step1:

LCM(705, 201) = 47235

GCD(705, 201) = ( 705 x 201 ) / 47235

= 705 / 201

= 705

Step2:

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

= 3 / 682

= 3

Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

So, Greatest Common Divisor of 705, 201, 682, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 934, 679, 305
• GCD of 590, 250, 399, 324
• GCD of 288, 674, 165, 667
• GCD of 962, 794, 692, 375
• GCD of 594, 329, 556, 280

Given numbers are 705, 201, 682, 427
The greatest common divisor of numbers 705, 201, 682, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 201, 682, 427 is 1.

1. What is the GCD of 705, 201, 682, 427?

GCD of given numbers 705, 201, 682, 427 is 1

2. How to calculate the greatest common divisor of 705, 201, 682, 427?

We can find the highest common divisor of 705, 201, 682, 427 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, 201, 682, 427 i.e 1.

3. How can I use the GCD of 705, 201, 682, 427Calculator?

Out the numbers 705, 201, 682, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.