GCD of 998, 745, 90, 690 Calculator

Given Input numbers are 998, 745, 90, 690

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (998, 745, 90, 690) = 1.

Given numbers are 998, 745, 90, 690

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 745 are 5 x 149

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 998, 745, 90, 690

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

Apply this formula for all numbers.

Step1:

LCM(998, 745) = 743510

GCD(998, 745) = ( 998 x 745 ) / 743510

= 998 / 745

= 998

Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 998, 745, 90, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 756, 39, 205
• GCD of 402, 363, 97, 630
• GCD of 864, 995, 82, 709
• GCD of 186, 860, 18, 305
• GCD of 491, 105, 81, 690

Given numbers are 998, 745, 90, 690
The greatest common divisor of numbers 998, 745, 90, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 745, 90, 690 is 1.

1. What is the GCD of 998, 745, 90, 690?

GCD of given numbers 998, 745, 90, 690 is 1

2. How to calculate the greatest common divisor of 998, 745, 90, 690?

We can find the highest common divisor of 998, 745, 90, 690 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 998, 745, 90, 690 i.e 1.

3. How can I use the GCD of 998, 745, 90, 690Calculator?

Out the numbers 998, 745, 90, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.