GCD of 759, 897, 378, 998 Calculator

Given Input numbers are 759, 897, 378, 998

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (759, 897, 378, 998) = 1.

Given numbers are 759, 897, 378, 998

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 897 are 3 x 13 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 998 are 2 x 499

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

Given numbers are 759, 897, 378, 998

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

Apply this formula for all numbers.

Step1:

LCM(759, 897) = 9867

GCD(759, 897) = ( 759 x 897 ) / 9867

= 759 / 897

= 759

Step2:

LCM(69, 378) = 8694

GCD(69, 378) = ( 69 x 378 ) / 8694

= 69 / 378

= 69

Step3:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

So, Greatest Common Divisor of 759, 897, 378, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 243, 764, 456
• GCD of 620, 482, 897, 654
• GCD of 942, 483, 668, 251
• GCD of 678, 909, 989, 117
• GCD of 174, 631, 829, 395

Given numbers are 759, 897, 378, 998
The greatest common divisor of numbers 759, 897, 378, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 897, 378, 998 is 1.

1. What is the GCD of 759, 897, 378, 998?

GCD of given numbers 759, 897, 378, 998 is 1

2. How to calculate the greatest common divisor of 759, 897, 378, 998?

We can find the highest common divisor of 759, 897, 378, 998 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 759, 897, 378, 998 i.e 1.

3. How can I use the GCD of 759, 897, 378, 998Calculator?

Out the numbers 759, 897, 378, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.