GCD of 420, 313, 505, 231 Calculator

Given Input numbers are 420, 313, 505, 231

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

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

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 (420, 313, 505, 231) = 1.

Given numbers are 420, 313, 505, 231

The list of prime factors of all numbers are

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

Prime factors of 313 are 313

Prime factors of 505 are 5 x 101

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 420, 313, 505, 231

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

Apply this formula for all numbers.

Step1:

LCM(420, 313) = 131460

GCD(420, 313) = ( 420 x 313 ) / 131460

= 420 / 313

= 420

Step2:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

Step3:

LCM(1, 231) = 231

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

= 1 / 231

= 1

So, Greatest Common Divisor of 420, 313, 505, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 987, 160, 142
• GCD of 745, 308, 120, 274
• GCD of 478, 337, 180, 335
• GCD of 619, 199, 149, 507
• GCD of 452, 237, 429, 970

Given numbers are 420, 313, 505, 231
The greatest common divisor of numbers 420, 313, 505, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 313, 505, 231 is 1.

1. What is the GCD of 420, 313, 505, 231?

GCD of given numbers 420, 313, 505, 231 is 1

2. How to calculate the greatest common divisor of 420, 313, 505, 231?

We can find the highest common divisor of 420, 313, 505, 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 420, 313, 505, 231 i.e 1.

3. How can I use the GCD of 420, 313, 505, 231Calculator?

Out the numbers 420, 313, 505, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.