GCD of 509, 948, 148, 561 Calculator

Given Input numbers are 509, 948, 148, 561

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (509, 948, 148, 561) = 1.

Given numbers are 509, 948, 148, 561

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 148 are 2 x 2 x 37

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 509, 948, 148, 561

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

Apply this formula for all numbers.

Step1:

LCM(509, 948) = 482532

GCD(509, 948) = ( 509 x 948 ) / 482532

= 509 / 948

= 509

Step2:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 509, 948, 148, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 319, 535, 826
• GCD of 333, 466, 557, 196
• GCD of 455, 282, 909, 697
• GCD of 567, 475, 114, 903
• GCD of 753, 274, 383, 921

Given numbers are 509, 948, 148, 561
The greatest common divisor of numbers 509, 948, 148, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 948, 148, 561 is 1.

1. What is the GCD of 509, 948, 148, 561?

GCD of given numbers 509, 948, 148, 561 is 1

2. How to calculate the greatest common divisor of 509, 948, 148, 561?

We can find the highest common divisor of 509, 948, 148, 561 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 509, 948, 148, 561 i.e 1.

3. How can I use the GCD of 509, 948, 148, 561Calculator?

Out the numbers 509, 948, 148, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.