GCD of 502, 504, 348, 280 Calculator

Given Input numbers are 502, 504, 348, 280

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (502, 504, 348, 280) = 2.

Given numbers are 502, 504, 348, 280

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 502, 504, 348, 280 is 2.

Given numbers are 502, 504, 348, 280

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

Apply this formula for all numbers.

Step1:

LCM(502, 504) = 126504

GCD(502, 504) = ( 502 x 504 ) / 126504

= 502 / 504

= 502

Step2:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 502, 504, 348, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 869, 299, 291
• GCD of 281, 370, 613, 798
• GCD of 642, 793, 705, 482
• GCD of 410, 486, 226, 124
• GCD of 267, 375, 672, 497

Given numbers are 502, 504, 348, 280
The greatest common divisor of numbers 502, 504, 348, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 504, 348, 280 is 2.

1. What is the GCD of 502, 504, 348, 280?

GCD of given numbers 502, 504, 348, 280 is 2

2. How to calculate the greatest common divisor of 502, 504, 348, 280?

We can find the highest common divisor of 502, 504, 348, 280 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 502, 504, 348, 280 i.e 2.

3. How can I use the GCD of 502, 504, 348, 280Calculator?

Out the numbers 502, 504, 348, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.