Greatest Common Factor of 127/920, 8433/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/920, 8433/108

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 127/920,8433/108

Given fractions are 127/920,8433/108

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 127,8433

Greatest Common Factor of Numerators i.e. GCF of 127,8433 is 1 .

LCM of Denominators means LCM of 920,108 as per the given fractions.

LCM of 920,108 is 24840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,8433

GCF of Fractions 127/920,8433/108 is 1/24840

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

Greatest Common Factor of 127,8433 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,8433 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1,3,9,937,2811,8433

Greatest Common Factor

We found the factors 127,8433 . The biggest common factor number is the GCF number.
So the greatest common factor 127,8433 is 1.

Lets's calculate LCM of 920,108

2 920, 108
2 460, 54
230, 27

∴ So the LCM of the given numbers is 2 x 2 x 230 x 27 = 24840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24840

Therefore, the GCF of Fractions 127/920,8433/108 is 1/24840

Least Common Multiple of 920,108 with GCF Formula

Least Common Multiple of 920,108 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 920,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,108) = 4

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

GCF(920,108) x common factors =4 x 1 = 4

LCM(920,108) = ( 920 × 108 ) / 4

LCM(920,108) = 99360 / 4

LCM(920,108) = 24840


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 127/920, 8433/108

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 127/920, 8433/108?

Answer: GCF of Numerators as per given numbers 127/920, 8433/108 is

GCF of Numerators i.e. for 127,8433 is 1

LCM of denominators i.e. for 920,108 is 24840.

Thus, GCF of Fractions is 1/24840.Finally, GCF of Fractions for 127/920, 8433/108 is 1/24840.