Greatest Common Factor of 1468/814, 3711/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1468/814, 3711/223

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 1468/814,3711/223

Given fractions are 1468/814,3711/223

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 1468,3711

Greatest Common Factor of Numerators i.e. GCF of 1468,3711 is 1 .

LCM of Denominators means LCM of 814,223 as per the given fractions.

LCM of 814,223 is 181522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1468,3711

GCF of Fractions 1468/814,3711/223 is 1/181522

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

Greatest Common Factor of 1468,3711 By Matching Biggest Common Factor Method

Greatest Common Factor of 1468,3711 By Matching Biggest Common Factor Method

Factors of 1468

List of positive integer factors of 1468 that divides 1468 without a remainder.

1,2,4,367,734,1468

Factors of 3711

List of positive integer factors of 3711 that divides 3711 without a remainder.

1,3,1237,3711

Greatest Common Factor

We found the factors 1468,3711 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,3711 is 1.

Lets's calculate LCM of 814,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 181522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181522

Therefore, the GCF of Fractions 1468/814,3711/223 is 1/181522

Least Common Multiple of 814,223 with GCF Formula

Least Common Multiple of 814,223 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 814,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,223) = 1

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

GCF(814,223) x common factors =1 x 1 = 1

LCM(814,223) = ( 814 × 223 ) / 1

LCM(814,223) = 181522 / 1

LCM(814,223) = 181522


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 1468/814, 3711/223

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 1468/814, 3711/223?

Answer: GCF of Numerators as per given numbers 1468/814, 3711/223 is

GCF of Numerators i.e. for 1468,3711 is 1

LCM of denominators i.e. for 814,223 is 181522.

Thus, GCF of Fractions is 1/181522.Finally, GCF of Fractions for 1468/814, 3711/223 is 1/181522.