Greatest Common Factor of 5785/55, 7997/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5785/55, 7997/223

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 5785/55,7997/223

Given fractions are 5785/55,7997/223

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 5785,7997

Greatest Common Factor of Numerators i.e. GCF of 5785,7997 is 1 .

LCM of Denominators means LCM of 55,223 as per the given fractions.

LCM of 55,223 is 12265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5785,7997

GCF of Fractions 5785/55,7997/223 is 1/12265

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

Greatest Common Factor of 5785,7997 By Matching Biggest Common Factor Method

Greatest Common Factor of 5785,7997 By Matching Biggest Common Factor Method

Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1,5,13,65,89,445,1157,5785

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1,11,727,7997

Greatest Common Factor

We found the factors 5785,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 5785,7997 is 1.

Lets's calculate LCM of 55,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 12265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12265

Therefore, the GCF of Fractions 5785/55,7997/223 is 1/12265

Least Common Multiple of 55,223 with GCF Formula

Least Common Multiple of 55,223 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 55,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,223) = 1

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

GCF(55,223) x common factors =1 x 1 = 1

LCM(55,223) = ( 55 × 223 ) / 1

LCM(55,223) = 12265 / 1

LCM(55,223) = 12265


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 5785/55, 7997/223

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 5785/55, 7997/223?

Answer: GCF of Numerators as per given numbers 5785/55, 7997/223 is

GCF of Numerators i.e. for 5785,7997 is 1

LCM of denominators i.e. for 55,223 is 12265.

Thus, GCF of Fractions is 1/12265.Finally, GCF of Fractions for 5785/55, 7997/223 is 1/12265.