GCD of 998, 550, 560, 909 Calculator

Given Input numbers are 998, 550, 560, 909

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (998, 550, 560, 909) = 1.

Given numbers are 998, 550, 560, 909

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 998, 550, 560, 909

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

Apply this formula for all numbers.

Step1:

LCM(998, 550) = 274450

GCD(998, 550) = ( 998 x 550 ) / 274450

= 998 / 550

= 998

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2

So, Greatest Common Divisor of 998, 550, 560, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 241, 289, 728
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• GCD of 681, 803, 848, 775

Given numbers are 998, 550, 560, 909
The greatest common divisor of numbers 998, 550, 560, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 550, 560, 909 is 1.

1. What is the GCD of 998, 550, 560, 909?

GCD of given numbers 998, 550, 560, 909 is 1

2. How to calculate the greatest common divisor of 998, 550, 560, 909?

We can find the highest common divisor of 998, 550, 560, 909 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, 550, 560, 909 i.e 1.

3. How can I use the GCD of 998, 550, 560, 909Calculator?

Out the numbers 998, 550, 560, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.