GCD of 548, 319, 735, 264 Calculator

Given Input numbers are 548, 319, 735, 264

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 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (548, 319, 735, 264) = 1.

Given numbers are 548, 319, 735, 264

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 319 are 11 x 29

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 548, 319, 735, 264

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

Apply this formula for all numbers.

Step1:

LCM(548, 319) = 174812

GCD(548, 319) = ( 548 x 319 ) / 174812

= 548 / 319

= 548

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 548, 319, 735, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 814, 735, 100
• GCD of 846, 266, 893, 626
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• GCD of 905, 309, 825, 486
• GCD of 479, 106, 377, 859

Given numbers are 548, 319, 735, 264
The greatest common divisor of numbers 548, 319, 735, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 319, 735, 264 is 1.

1. What is the GCD of 548, 319, 735, 264?

GCD of given numbers 548, 319, 735, 264 is 1

2. How to calculate the greatest common divisor of 548, 319, 735, 264?

We can find the highest common divisor of 548, 319, 735, 264 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, 319, 735, 264 i.e 1.

3. How can I use the GCD of 548, 319, 735, 264Calculator?

Out the numbers 548, 319, 735, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.