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GCD of 502, 348, 70, 820 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 502, 348, 70, 820 quickly. Get the easiest ways to solve the greatest common divisor of 502, 348, 70, 820 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 502, 348, 70, 820 with Factoring?

Given Input numbers are 502, 348, 70, 820

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 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 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (502, 348, 70, 820) = 2.

Find GCD of 502, 348, 70, 820 using Prime Factorization

Given numbers are 502, 348, 70, 820

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

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

Prime factors of 70 are 2 x 5 x 7

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 21

Therefore, GCD of 502, 348, 70, 820 is 2.

Steps to Calculate GCD of 502, 348, 70, 820 using LCM Formula

Given numbers are 502, 348, 70, 820

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

Apply this formula for all numbers.

Step1:

LCM(502, 348) = 87348

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

= 502 / 348

= 502


Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2


Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2


So, Greatest Common Divisor of 502, 348, 70, 820 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 502, 348, 70, 820

Given numbers are 502, 348, 70, 820
The greatest common divisor of numbers 502, 348, 70, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 348, 70, 820 is 2.

FAQs on GCD of 502, 348, 70, 820 Calculator

1. What is the GCD of 502, 348, 70, 820?

GCD of given numbers 502, 348, 70, 820 is 2


2. How to calculate the greatest common divisor of 502, 348, 70, 820?

We can find the highest common divisor of 502, 348, 70, 820 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, 348, 70, 820 i.e 2.


3. How can I use the GCD of 502, 348, 70, 820Calculator?

Out the numbers 502, 348, 70, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.