Greatest Common Factor of 5471/764, 8221/7775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5471/764, 8221/7775

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 5471/764,8221/7775

Given fractions are 5471/764,8221/7775

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 5471,8221

Greatest Common Factor of Numerators i.e. GCF of 5471,8221 is 1 .

LCM of Denominators means LCM of 764,7775 as per the given fractions.

LCM of 764,7775 is 5940100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5471,8221

GCF of Fractions 5471/764,8221/7775 is 1/5940100

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

Greatest Common Factor of 5471,8221 By Matching Biggest Common Factor Method

Greatest Common Factor of 5471,8221 By Matching Biggest Common Factor Method

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Factors of 8221

List of positive integer factors of 8221 that divides 8221 without a remainder.

1,8221

Greatest Common Factor

We found the factors 5471,8221 . The biggest common factor number is the GCF number.
So the greatest common factor 5471,8221 is 1.

Lets's calculate LCM of 764,7775

Given numbers has no common factors except 1. So, there LCM is their product i.e 5940100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5940100

Therefore, the GCF of Fractions 5471/764,8221/7775 is 1/5940100

Least Common Multiple of 764,7775 with GCF Formula

Least Common Multiple of 764,7775 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 764,7775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,7775) = 1

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

GCF(764,7775) x common factors =1 x 1 = 1

LCM(764,7775) = ( 764 × 7775 ) / 1

LCM(764,7775) = 5940100 / 1

LCM(764,7775) = 5940100


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 5471/764, 8221/7775

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 5471/764, 8221/7775?

Answer: GCF of Numerators as per given numbers 5471/764, 8221/7775 is

GCF of Numerators i.e. for 5471,8221 is 1

LCM of denominators i.e. for 764,7775 is 5940100.

Thus, GCF of Fractions is 1/5940100.Finally, GCF of Fractions for 5471/764, 8221/7775 is 1/5940100.