GCD of 504, 560, 917, 665 Calculator

Given Input numbers are 504, 560, 917, 665

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

GCD of numbers is the greatest common divisor

So, the GCD (504, 560, 917, 665) = 7.

Given numbers are 504, 560, 917, 665

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 917 are 7 x 131

Prime factors of 665 are 5 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 504, 560, 917, 665 is 7.

Given numbers are 504, 560, 917, 665

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

Apply this formula for all numbers.

Step1:

LCM(504, 560) = 5040

GCD(504, 560) = ( 504 x 560 ) / 5040

= 504 / 560

= 504

Step2:

LCM(56, 917) = 7336

GCD(56, 917) = ( 56 x 917 ) / 7336

= 56 / 917

= 56

Step3:

LCM(7, 665) = 665

GCD(7, 665) = ( 7 x 665 ) / 665

= 7 / 665

= 7

So, Greatest Common Divisor of 504, 560, 917, 665 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 301, 201, 105
• GCD of 861, 465, 349, 572
• GCD of 284, 990, 178, 862
• GCD of 250, 652, 277, 669
• GCD of 620, 423, 511, 198

Given numbers are 504, 560, 917, 665
The greatest common divisor of numbers 504, 560, 917, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 560, 917, 665 is 7.

1. What is the GCD of 504, 560, 917, 665?

GCD of given numbers 504, 560, 917, 665 is 7

2. How to calculate the greatest common divisor of 504, 560, 917, 665?

We can find the highest common divisor of 504, 560, 917, 665 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 504, 560, 917, 665 i.e 7.

3. How can I use the GCD of 504, 560, 917, 665Calculator?

Out the numbers 504, 560, 917, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.