GCD of 248, 360, 305, 789 Calculator

Given Input numbers are 248, 360, 305, 789

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (248, 360, 305, 789) = 1.

Given numbers are 248, 360, 305, 789

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 305 are 5 x 61

Prime factors of 789 are 3 x 263

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

Given numbers are 248, 360, 305, 789

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

Apply this formula for all numbers.

Step1:

LCM(248, 360) = 11160

GCD(248, 360) = ( 248 x 360 ) / 11160

= 248 / 360

= 248

Step2:

LCM(8, 305) = 2440

GCD(8, 305) = ( 8 x 305 ) / 2440

= 8 / 305

= 8

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 248, 360, 305, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 427, 207, 576
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• GCD of 543, 826, 290, 749
• GCD of 857, 533, 669, 138
• GCD of 219, 339, 195, 697

Given numbers are 248, 360, 305, 789
The greatest common divisor of numbers 248, 360, 305, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 360, 305, 789 is 1.

1. What is the GCD of 248, 360, 305, 789?

GCD of given numbers 248, 360, 305, 789 is 1

2. How to calculate the greatest common divisor of 248, 360, 305, 789?

We can find the highest common divisor of 248, 360, 305, 789 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 248, 360, 305, 789 i.e 1.

3. How can I use the GCD of 248, 360, 305, 789Calculator?

Out the numbers 248, 360, 305, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.