GCD of 348, 502, 224, 420 Calculator

Given Input numbers are 348, 502, 224, 420

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

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 502 :

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

1, 2, 251, 502

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (348, 502, 224, 420) = 2.

Given numbers are 348, 502, 224, 420

The list of prime factors of all numbers are

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

Prime factors of 502 are 2 x 251

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 348, 502, 224, 420 is 2.

Given numbers are 348, 502, 224, 420

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

Apply this formula for all numbers.

Step1:

LCM(348, 502) = 87348

GCD(348, 502) = ( 348 x 502 ) / 87348

= 348 / 502

= 348

Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 348, 502, 224, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 325, 751, 845
• GCD of 463, 202, 121, 627
• GCD of 555, 652, 589, 810
• GCD of 823, 952, 671, 286
• GCD of 912, 289, 196, 718

Given numbers are 348, 502, 224, 420
The greatest common divisor of numbers 348, 502, 224, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 502, 224, 420 is 2.

1. What is the GCD of 348, 502, 224, 420?

GCD of given numbers 348, 502, 224, 420 is 2

2. How to calculate the greatest common divisor of 348, 502, 224, 420?

We can find the highest common divisor of 348, 502, 224, 420 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 348, 502, 224, 420 i.e 2.

3. How can I use the GCD of 348, 502, 224, 420Calculator?

Out the numbers 348, 502, 224, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.