GCD of 548, 961, 838, 509 Calculator

Given Input numbers are 548, 961, 838, 509

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (548, 961, 838, 509) = 1.

Given numbers are 548, 961, 838, 509

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 961 are 31 x 31

Prime factors of 838 are 2 x 419

Prime factors of 509 are 509

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

Given numbers are 548, 961, 838, 509

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

Apply this formula for all numbers.

Step1:

LCM(548, 961) = 526628

GCD(548, 961) = ( 548 x 961 ) / 526628

= 548 / 961

= 548

Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 548, 961, 838, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 840, 101, 269
• GCD of 647, 937, 107, 711
• GCD of 128, 121, 347, 629
• GCD of 773, 423, 216, 380
• GCD of 422, 616, 101, 713

Given numbers are 548, 961, 838, 509
The greatest common divisor of numbers 548, 961, 838, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 961, 838, 509 is 1.

1. What is the GCD of 548, 961, 838, 509?

GCD of given numbers 548, 961, 838, 509 is 1

2. How to calculate the greatest common divisor of 548, 961, 838, 509?

We can find the highest common divisor of 548, 961, 838, 509 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 548, 961, 838, 509 i.e 1.

3. How can I use the GCD of 548, 961, 838, 509Calculator?

Out the numbers 548, 961, 838, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.