GCD of 501, 308, 261, 345 Calculator

Given Input numbers are 501, 308, 261, 345

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (501, 308, 261, 345) = 1.

Given numbers are 501, 308, 261, 345

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 261 are 3 x 3 x 29

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 501, 308, 261, 345

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

Apply this formula for all numbers.

Step1:

LCM(501, 308) = 154308

GCD(501, 308) = ( 501 x 308 ) / 154308

= 501 / 308

= 501

Step2:

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

= 1 / 261

= 1

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 501, 308, 261, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 469, 182, 867
• GCD of 906, 540, 728, 947
• GCD of 469, 567, 780, 298
• GCD of 271, 111, 732, 663
• GCD of 930, 956, 700, 142

Given numbers are 501, 308, 261, 345
The greatest common divisor of numbers 501, 308, 261, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 308, 261, 345 is 1.

1. What is the GCD of 501, 308, 261, 345?

GCD of given numbers 501, 308, 261, 345 is 1

2. How to calculate the greatest common divisor of 501, 308, 261, 345?

We can find the highest common divisor of 501, 308, 261, 345 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 501, 308, 261, 345 i.e 1.

3. How can I use the GCD of 501, 308, 261, 345Calculator?

Out the numbers 501, 308, 261, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.