GCD of 139, 420, 305, 231 Calculator

Given Input numbers are 139, 420, 305, 231

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

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (139, 420, 305, 231) = 1.

Given numbers are 139, 420, 305, 231

The list of prime factors of all numbers are

Prime factors of 139 are 139

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 305 are 5 x 61

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 139, 420, 305, 231

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

Apply this formula for all numbers.

Step1:

LCM(139, 420) = 58380

GCD(139, 420) = ( 139 x 420 ) / 58380

= 139 / 420

= 139

Step2:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 139, 420, 305, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 800, 282, 933
• GCD of 771, 174, 987, 169
• GCD of 661, 237, 988, 135
• GCD of 980, 802, 758, 139
• GCD of 173, 444, 189, 981

Given numbers are 139, 420, 305, 231
The greatest common divisor of numbers 139, 420, 305, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 139, 420, 305, 231 is 1.

1. What is the GCD of 139, 420, 305, 231?

GCD of given numbers 139, 420, 305, 231 is 1

2. How to calculate the greatest common divisor of 139, 420, 305, 231?

We can find the highest common divisor of 139, 420, 305, 231 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 139, 420, 305, 231 i.e 1.

3. How can I use the GCD of 139, 420, 305, 231Calculator?

Out the numbers 139, 420, 305, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.