Greatest Common Factor of 8169/122, 2114/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8169/122, 2114/228

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 8169/122,2114/228

Given fractions are 8169/122,2114/228

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 8169,2114

Greatest Common Factor of Numerators i.e. GCF of 8169,2114 is 7 .

LCM of Denominators means LCM of 122,228 as per the given fractions.

LCM of 122,228 is 13908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8169,2114

GCF of Fractions 8169/122,2114/228 is 7/13908

7 8169, 2114
1167, 302

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8169,2114 By Matching Biggest Common Factor Method

Greatest Common Factor of 8169,2114 By Matching Biggest Common Factor Method

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1,3,7,21,389,1167,2723,8169

Factors of 2114

List of positive integer factors of 2114 that divides 2114 without a remainder.

1,2,7,14,151,302,1057,2114

Greatest Common Factor

We found the factors 8169,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,2114 is 7.

Lets's calculate LCM of 122,228

2 122, 228
61, 114

∴ So the LCM of the given numbers is 2 x 61 x 114 = 13908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13908

Therefore, the GCF of Fractions 8169/122,2114/228 is 7/13908

Least Common Multiple of 122,228 with GCF Formula

Least Common Multiple of 122,228 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 122,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,228) = 2

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

GCF(122,228) x common factors =2 x 1 = 2

LCM(122,228) = ( 122 × 228 ) / 2

LCM(122,228) = 27816 / 2

LCM(122,228) = 13908


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 8169/122, 2114/228

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 8169/122, 2114/228?

Answer: GCF of Numerators as per given numbers 8169/122, 2114/228 is

GCF of Numerators i.e. for 8169,2114 is 7

LCM of denominators i.e. for 122,228 is 13908.

Thus, GCF of Fractions is 7/13908.Finally, GCF of Fractions for 8169/122, 2114/228 is 7/13908.