GCD of 678, 548, 234, 280 Calculator

Given Input numbers are 678, 548, 234, 280

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 548 :

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

1, 2, 4, 137, 274, 548

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (678, 548, 234, 280) = 2.

Given numbers are 678, 548, 234, 280

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 548 are 2 x 2 x 137

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 678, 548, 234, 280 is 2.

Given numbers are 678, 548, 234, 280

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

Apply this formula for all numbers.

Step1:

LCM(678, 548) = 185772

GCD(678, 548) = ( 678 x 548 ) / 185772

= 678 / 548

= 678

Step2:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 678, 548, 234, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 312, 229, 172
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• GCD of 790, 781, 656, 325

Given numbers are 678, 548, 234, 280
The greatest common divisor of numbers 678, 548, 234, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 548, 234, 280 is 2.

1. What is the GCD of 678, 548, 234, 280?

GCD of given numbers 678, 548, 234, 280 is 2

2. How to calculate the greatest common divisor of 678, 548, 234, 280?

We can find the highest common divisor of 678, 548, 234, 280 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 678, 548, 234, 280 i.e 2.

3. How can I use the GCD of 678, 548, 234, 280Calculator?

Out the numbers 678, 548, 234, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.