GCD of 505, 649, 825, 265 Calculator

Given Input numbers are 505, 649, 825, 265

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

GCD of numbers is the greatest common divisor

So, the GCD (505, 649, 825, 265) = 1.

Given numbers are 505, 649, 825, 265

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 649 are 11 x 59

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 265 are 5 x 53

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

Given numbers are 505, 649, 825, 265

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

Apply this formula for all numbers.

Step1:

LCM(505, 649) = 327745

GCD(505, 649) = ( 505 x 649 ) / 327745

= 505 / 649

= 505

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

= 1 / 265

= 1

So, Greatest Common Divisor of 505, 649, 825, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 602, 234, 651
• GCD of 767, 856, 287, 623
• GCD of 723, 503, 207, 116
• GCD of 422, 117, 315, 637
• GCD of 464, 196, 595, 148

Given numbers are 505, 649, 825, 265
The greatest common divisor of numbers 505, 649, 825, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 649, 825, 265 is 1.

1. What is the GCD of 505, 649, 825, 265?

GCD of given numbers 505, 649, 825, 265 is 1

2. How to calculate the greatest common divisor of 505, 649, 825, 265?

We can find the highest common divisor of 505, 649, 825, 265 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, 649, 825, 265 i.e 1.

3. How can I use the GCD of 505, 649, 825, 265Calculator?

Out the numbers 505, 649, 825, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.