GCD of 407, 271, 272, 698 Calculator

Given Input numbers are 407, 271, 272, 698

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (407, 271, 272, 698) = 1.

Given numbers are 407, 271, 272, 698

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 271 are 271

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 698 are 2 x 349

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

Given numbers are 407, 271, 272, 698

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

Apply this formula for all numbers.

Step1:

LCM(407, 271) = 110297

GCD(407, 271) = ( 407 x 271 ) / 110297

= 407 / 271

= 407

Step2:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 407, 271, 272, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 988, 568, 149
• GCD of 800, 700, 556, 266
• GCD of 323, 300, 137, 107
• GCD of 856, 149, 112, 721
• GCD of 217, 153, 701, 501

Given numbers are 407, 271, 272, 698
The greatest common divisor of numbers 407, 271, 272, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 271, 272, 698 is 1.

1. What is the GCD of 407, 271, 272, 698?

GCD of given numbers 407, 271, 272, 698 is 1

2. How to calculate the greatest common divisor of 407, 271, 272, 698?

We can find the highest common divisor of 407, 271, 272, 698 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 407, 271, 272, 698 i.e 1.

3. How can I use the GCD of 407, 271, 272, 698Calculator?

Out the numbers 407, 271, 272, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.