Greatest Common Factor of 55/108, 434/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/108, 434/826

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 55/108,434/826

Given fractions are 55/108,434/826

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 55,434

Greatest Common Factor of Numerators i.e. GCF of 55,434 is 1 .

LCM of Denominators means LCM of 108,826 as per the given fractions.

LCM of 108,826 is 44604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,434

GCF of Fractions 55/108,434/826 is 1/44604

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

Greatest Common Factor of 55,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,434 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 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 55,434 . The biggest common factor number is the GCF number.
So the greatest common factor 55,434 is 1.

Lets's calculate LCM of 108,826

2 108, 826
54, 413

∴ So the LCM of the given numbers is 2 x 54 x 413 = 44604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44604

Therefore, the GCF of Fractions 55/108,434/826 is 1/44604

Least Common Multiple of 108,826 with GCF Formula

Least Common Multiple of 108,826 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 108,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,826) = 2

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

GCF(108,826) x common factors =2 x 1 = 2

LCM(108,826) = ( 108 × 826 ) / 2

LCM(108,826) = 89208 / 2

LCM(108,826) = 44604


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 55/108, 434/826

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 55/108, 434/826?

Answer: GCF of Numerators as per given numbers 55/108, 434/826 is

GCF of Numerators i.e. for 55,434 is 1

LCM of denominators i.e. for 108,826 is 44604.

Thus, GCF of Fractions is 1/44604.Finally, GCF of Fractions for 55/108, 434/826 is 1/44604.