GCD of 504, 260, 720, 994 Calculator

Given Input numbers are 504, 260, 720, 994

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (504, 260, 720, 994) = 2.

Given numbers are 504, 260, 720, 994

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 260 are 2 x 2 x 5 x 13

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 504, 260, 720, 994 is 2.

Given numbers are 504, 260, 720, 994

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

Apply this formula for all numbers.

Step1:

LCM(504, 260) = 32760

GCD(504, 260) = ( 504 x 260 ) / 32760

= 504 / 260

= 504

Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4

Step3:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

So, Greatest Common Divisor of 504, 260, 720, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 919, 388, 669
• GCD of 602, 434, 148, 756
• GCD of 229, 856, 623, 658
• GCD of 944, 243, 339, 556
• GCD of 176, 502, 810, 920

Given numbers are 504, 260, 720, 994
The greatest common divisor of numbers 504, 260, 720, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 260, 720, 994 is 2.

1. What is the GCD of 504, 260, 720, 994?

GCD of given numbers 504, 260, 720, 994 is 2

2. How to calculate the greatest common divisor of 504, 260, 720, 994?

We can find the highest common divisor of 504, 260, 720, 994 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, 260, 720, 994 i.e 2.

3. How can I use the GCD of 504, 260, 720, 994Calculator?

Out the numbers 504, 260, 720, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.