Greatest Common Factor of 883/34, 838/53, 550/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 883/34, 838/53, 550/68

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 883/34,838/53,550/68

Given fractions are 883/34,838/53,550/68

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 883,838,550

Greatest Common Factor of Numerators i.e. GCF of 883,838,550 is 1 .

LCM of Denominators means LCM of 34,53,68 as per the given fractions.

LCM of 34,53,68 is 3604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 883,838,550

GCF of Fractions 883/34,838/53,550/68 is 1/3604

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

Greatest Common Factor of 883,838,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,838,550 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

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

Greatest Common Factor

We found the factors 883,838,550 . The biggest common factor number is the GCF number.
So the greatest common factor 883,838,550 is 1.

Lets's calculate LCM of 34,53,68

2 34, 53, 68
17 17, 53, 34
1, 53, 2

∴ So the LCM of the given numbers is 2 x 17 x 1 x 53 x 2 = 3604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3604

Therefore, the GCF of Fractions 883/34,838/53,550/68 is 1/3604

Least Common Multiple of 34,53,68 with GCF Formula

Least Common Multiple of 34,53,68 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 34,53,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,53,68) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,53,68) x common factors =1 x 34 = 34

LCM(34,53,68) = ( 34 × 53 × 68 ) / 34

LCM(34,53,68) = 122536 / 34

LCM(34,53,68) = 3604


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 883/34, 838/53, 550/68

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 883/34, 838/53, 550/68?

Answer: GCF of Numerators as per given numbers 883/34, 838/53, 550/68 is

GCF of Numerators i.e. for 883,838,550 is 1

LCM of denominators i.e. for 34,53,68 is 3604.

Thus, GCF of Fractions is 1/3604.Finally, GCF of Fractions for 883/34, 838/53, 550/68 is 1/3604.