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GCD of 948, 474, 220, 550 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 474, 220, 550 quickly. Get the easiest ways to solve the greatest common divisor of 948, 474, 220, 550 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 474, 220, 550 with Factoring?

Given Input numbers are 948, 474, 220, 550

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550


GCD of numbers is the greatest common divisor

So, the GCD (948, 474, 220, 550) = 2.

Find GCD of 948, 474, 220, 550 using Prime Factorization

Given numbers are 948, 474, 220, 550

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 474 are 2 x 3 x 79

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 948, 474, 220, 550 is 2.

Steps to Calculate GCD of 948, 474, 220, 550 using LCM Formula

Given numbers are 948, 474, 220, 550

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

Apply this formula for all numbers.

Step1:

LCM(948, 474) = 948

GCD(948, 474) = ( 948 x 474 ) / 948

= 948 / 474

= 948


Step2:

LCM(474, 220) = 52140

GCD(474, 220) = ( 474 x 220 ) / 52140

= 474 / 220

= 474


Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2


So, Greatest Common Divisor of 948, 474, 220, 550 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 474, 220, 550

Given numbers are 948, 474, 220, 550
The greatest common divisor of numbers 948, 474, 220, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 474, 220, 550 is 2.

FAQs on GCD of 948, 474, 220, 550 Calculator

1. What is the GCD of 948, 474, 220, 550?

GCD of given numbers 948, 474, 220, 550 is 2


2. How to calculate the greatest common divisor of 948, 474, 220, 550?

We can find the highest common divisor of 948, 474, 220, 550 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 948, 474, 220, 550 i.e 2.


3. How can I use the GCD of 948, 474, 220, 550Calculator?

Out the numbers 948, 474, 220, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.