GCD of 755, 249, 380 Calculator

Given Input numbers are 755, 249, 380

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (755, 249, 380) = 1.

Given numbers are 755, 249, 380

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 249 are 3 x 83

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 755, 249, 380

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

Apply this formula for all numbers.

Step1:

LCM(755, 249) = 187995

GCD(755, 249) = ( 755 x 249 ) / 187995

= 755 / 249

= 755

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 755, 249, 380 is 1

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Given numbers are 755, 249, 380
The greatest common divisor of numbers 755, 249, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 249, 380 is 1.

1. What is the GCD of 755, 249, 380?

GCD of given numbers 755, 249, 380 is 1

2. How to calculate the greatest common divisor of 755, 249, 380?

We can find the highest common divisor of 755, 249, 380 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 755, 249, 380 i.e 1.

3. How can I use the GCD of 755, 249, 380Calculator?

Out the numbers 755, 249, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.