GCD of 505, 135, 269, 998 Calculator

Given Input numbers are 505, 135, 269, 998

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 135 :

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

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

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 (505, 135, 269, 998) = 1.

Given numbers are 505, 135, 269, 998

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

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

Prime factors of 269 are 269

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 505, 135, 269, 998

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

Apply this formula for all numbers.

Step1:

LCM(505, 135) = 13635

GCD(505, 135) = ( 505 x 135 ) / 13635

= 505 / 135

= 505

Step2:

LCM(5, 269) = 1345

GCD(5, 269) = ( 5 x 269 ) / 1345

= 5 / 269

= 5

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 505, 135, 269, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 757, 921, 482
• GCD of 652, 701, 394, 858
• GCD of 771, 592, 205, 122
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• GCD of 173, 505, 588, 155

Given numbers are 505, 135, 269, 998
The greatest common divisor of numbers 505, 135, 269, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 135, 269, 998 is 1.

1. What is the GCD of 505, 135, 269, 998?

GCD of given numbers 505, 135, 269, 998 is 1

2. How to calculate the greatest common divisor of 505, 135, 269, 998?

We can find the highest common divisor of 505, 135, 269, 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 505, 135, 269, 998 i.e 1.

3. How can I use the GCD of 505, 135, 269, 998Calculator?

Out the numbers 505, 135, 269, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.