Greatest Common Factor of 55/493, 214/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/493, 214/833

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 55/493,214/833

Given fractions are 55/493,214/833

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 55,214

Greatest Common Factor of Numerators i.e. GCF of 55,214 is 1 .

LCM of Denominators means LCM of 493,833 as per the given fractions.

LCM of 493,833 is 24157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,214

GCF of Fractions 55/493,214/833 is 1/24157

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 55,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,214 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 55,214 . The biggest common factor number is the GCF number.
So the greatest common factor 55,214 is 1.

Lets's calculate LCM of 493,833

17 493, 833
29, 49

∴ So the LCM of the given numbers is 17 x 29 x 49 = 24157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24157

Therefore, the GCF of Fractions 55/493,214/833 is 1/24157

Least Common Multiple of 493,833 with GCF Formula

Least Common Multiple of 493,833 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 493,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,833) = 17

common factors(in case of two or more numbers have common factors) = 1

GCF(493,833) x common factors =17 x 1 = 17

LCM(493,833) = ( 493 × 833 ) / 17

LCM(493,833) = 410669 / 17

LCM(493,833) = 24157


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 55/493, 214/833

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 55/493, 214/833?

Answer: GCF of Numerators as per given numbers 55/493, 214/833 is

GCF of Numerators i.e. for 55,214 is 1

LCM of denominators i.e. for 493,833 is 24157.

Thus, GCF of Fractions is 1/24157.Finally, GCF of Fractions for 55/493, 214/833 is 1/24157.