GCD of 890, 135, 310, 369 Calculator

Given Input numbers are 890, 135, 310, 369

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (890, 135, 310, 369) = 1.

Given numbers are 890, 135, 310, 369

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 310 are 2 x 5 x 31

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 890, 135, 310, 369

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

Apply this formula for all numbers.

Step1:

LCM(890, 135) = 24030

GCD(890, 135) = ( 890 x 135 ) / 24030

= 890 / 135

= 890

Step2:

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

= 5 / 310

= 5

Step3:

LCM(5, 369) = 1845

GCD(5, 369) = ( 5 x 369 ) / 1845

= 5 / 369

= 5

So, Greatest Common Divisor of 890, 135, 310, 369 is 1

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Given numbers are 890, 135, 310, 369
The greatest common divisor of numbers 890, 135, 310, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 135, 310, 369 is 1.

1. What is the GCD of 890, 135, 310, 369?

GCD of given numbers 890, 135, 310, 369 is 1

2. How to calculate the greatest common divisor of 890, 135, 310, 369?

We can find the highest common divisor of 890, 135, 310, 369 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 890, 135, 310, 369 i.e 1.

3. How can I use the GCD of 890, 135, 310, 369Calculator?

Out the numbers 890, 135, 310, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.