How to Find GCF of 5397/779, 8231/7618?

GCF of 5397/779, 8231/7618

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5397/779, 8231/7618 i.e 1/5934422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5397/779, 8231/7618.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5397/779,8231/7618?

Given fractions are 5397/779,8231/7618

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5397/779,8231/7618, numerators are 5397,8231

Denominators are 779,7618

The GCF of 5397,8231 is 1 .

LCM of 779,7618 is 5934422.

The greatest common factor of 5397/779,8231/7618 = [GCF of 5397,8231]/[LCM of 779,7618]= 1/5934422

Therefore, the GCF of 5397/779,8231/7618 is 1/5934422.

Greatest Common Factor of 5397,8231

To find the highest common factor of 5397,8231, we have to find the factors of both numbers and list the highest common factor.

The factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397

The factors of 8231 are 1, 8231

The HCF of 5397,8231 is 1.

Lets's calculate GCF of 5397,8231

Greatest Common Factor (GCF) of 5397,8231 By Common Division

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

Greatest Common Factor of 5397,8231 By Matching Biggest Common Factor Method

Now, list down the factors of 5397

1,3,7,21,257,771,1799,5397

Now, list down the factors of 8231

1,8231

Greatest Common Factor

We found the factors 5397,8231 . The biggest common factor number is the GCF number.
So the greatest common factor 5397,8231 is 1.

Lets's calculate LCM of 779,7618

Lowest Common Multiple of 779,7618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5934422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5934422

Therefore, the GCF of Fractions 5397/779,8231/7618 is 1/5934422

Least Common Multiple of 779,7618 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 779,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,7618) = 1

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

GCF(779,7618) x common factors =1 x 1 = 1

LCM(779,7618) = ( 779 × 7618 ) / 1

LCM(779,7618) = 5934422 / 1

LCM(779,7618) = 5934422

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5397/779, 8231/7618

1. What is the HCF of 5397,8231?

The HCF of 5397,8231 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5397/779, 8231/7618?

Answer: GCF of Numerators as per given numbers 5397/779, 8231/7618 is

GCF of Numerators i.e. for 5397,8231 is 1

LCM of denominators i.e. for 779,7618 is 5934422.

Thus, GCF of Fractions is 1/5934422.Finally, GCF of Fractions for 5397/779, 8231/7618 is 1/5934422.