GCD of 502, 870, 364, 548 Calculator

Given Input numbers are 502, 870, 364, 548

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (502, 870, 364, 548) = 2.

Given numbers are 502, 870, 364, 548

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 502, 870, 364, 548 is 2.

Given numbers are 502, 870, 364, 548

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

Apply this formula for all numbers.

Step1:

LCM(502, 870) = 218370

GCD(502, 870) = ( 502 x 870 ) / 218370

= 502 / 870

= 502

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

So, Greatest Common Divisor of 502, 870, 364, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 515, 755, 220
• GCD of 128, 600, 755, 617
• GCD of 233, 281, 546, 286
• GCD of 139, 410, 547, 745
• GCD of 950, 367, 130, 362

Given numbers are 502, 870, 364, 548
The greatest common divisor of numbers 502, 870, 364, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 870, 364, 548 is 2.

1. What is the GCD of 502, 870, 364, 548?

GCD of given numbers 502, 870, 364, 548 is 2

2. How to calculate the greatest common divisor of 502, 870, 364, 548?

We can find the highest common divisor of 502, 870, 364, 548 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, 870, 364, 548 i.e 2.

3. How can I use the GCD of 502, 870, 364, 548Calculator?

Out the numbers 502, 870, 364, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.