GCD of 390, 741, 749, 898 Calculator

Given Input numbers are 390, 741, 749, 898

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (390, 741, 749, 898) = 1.

Given numbers are 390, 741, 749, 898

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 741 are 3 x 13 x 19

Prime factors of 749 are 7 x 107

Prime factors of 898 are 2 x 449

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

Given numbers are 390, 741, 749, 898

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

Apply this formula for all numbers.

Step1:

LCM(390, 741) = 7410

GCD(390, 741) = ( 390 x 741 ) / 7410

= 390 / 741

= 390

Step2:

LCM(39, 749) = 29211

GCD(39, 749) = ( 39 x 749 ) / 29211

= 39 / 749

= 39

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 390, 741, 749, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 545, 539, 591
• GCD of 611, 184, 256, 874
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• GCD of 990, 172, 856, 606

Given numbers are 390, 741, 749, 898
The greatest common divisor of numbers 390, 741, 749, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 741, 749, 898 is 1.

1. What is the GCD of 390, 741, 749, 898?

GCD of given numbers 390, 741, 749, 898 is 1

2. How to calculate the greatest common divisor of 390, 741, 749, 898?

We can find the highest common divisor of 390, 741, 749, 898 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 390, 741, 749, 898 i.e 1.

3. How can I use the GCD of 390, 741, 749, 898Calculator?

Out the numbers 390, 741, 749, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.