GCD of 431, 109, 221, 149 Calculator

Given Input numbers are 431, 109, 221, 149

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (431, 109, 221, 149) = 1.

Given numbers are 431, 109, 221, 149

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 109 are 109

Prime factors of 221 are 13 x 17

Prime factors of 149 are 149

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

Given numbers are 431, 109, 221, 149

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

Apply this formula for all numbers.

Step1:

LCM(431, 109) = 46979

GCD(431, 109) = ( 431 x 109 ) / 46979

= 431 / 109

= 431

Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 431, 109, 221, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 513, 632, 858
• GCD of 381, 388, 940, 946
• GCD of 907, 754, 967, 150
• GCD of 477, 882, 675, 174
• GCD of 322, 626, 640, 376

Given numbers are 431, 109, 221, 149
The greatest common divisor of numbers 431, 109, 221, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 109, 221, 149 is 1.

1. What is the GCD of 431, 109, 221, 149?

GCD of given numbers 431, 109, 221, 149 is 1

2. How to calculate the greatest common divisor of 431, 109, 221, 149?

We can find the highest common divisor of 431, 109, 221, 149 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 431, 109, 221, 149 i.e 1.

3. How can I use the GCD of 431, 109, 221, 149Calculator?

Out the numbers 431, 109, 221, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.