GCD of 548, 704, 509, 164 Calculator

Given Input numbers are 548, 704, 509, 164

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 509 :

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

1, 509

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (548, 704, 509, 164) = 1.

Given numbers are 548, 704, 509, 164

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 509 are 509

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 548, 704, 509, 164

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

Apply this formula for all numbers.

Step1:

LCM(548, 704) = 96448

GCD(548, 704) = ( 548 x 704 ) / 96448

= 548 / 704

= 548

Step2:

LCM(4, 509) = 2036

GCD(4, 509) = ( 4 x 509 ) / 2036

= 4 / 509

= 4

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 548, 704, 509, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 687, 201, 834
• GCD of 316, 598, 258, 208
• GCD of 104, 907, 284, 397
• GCD of 550, 193, 194, 903
• GCD of 109, 857, 433, 744

Given numbers are 548, 704, 509, 164
The greatest common divisor of numbers 548, 704, 509, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 704, 509, 164 is 1.

1. What is the GCD of 548, 704, 509, 164?

GCD of given numbers 548, 704, 509, 164 is 1

2. How to calculate the greatest common divisor of 548, 704, 509, 164?

We can find the highest common divisor of 548, 704, 509, 164 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, 704, 509, 164 i.e 1.

3. How can I use the GCD of 548, 704, 509, 164Calculator?

Out the numbers 548, 704, 509, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.