How to Find GCF of 9379/827, 5649/828?

GCF of 9379/827, 5649/828

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 9379/827, 5649/828 i.e 1/684756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9379/827, 5649/828.

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 9379/827,5649/828?

Given fractions are 9379/827,5649/828

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 9379/827,5649/828, numerators are 9379,5649

Denominators are 827,828

The GCF of 9379,5649 is 1 .

LCM of 827,828 is 684756.

The greatest common factor of 9379/827,5649/828 = [GCF of 9379,5649]/[LCM of 827,828]= 1/684756

Therefore, the GCF of 9379/827,5649/828 is 1/684756.

Greatest Common Factor of 9379,5649

To find the highest common factor of 9379,5649, we have to find the factors of both numbers and list the highest common factor.

The factors of 9379 are 1, 83, 113, 9379

The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649

The HCF of 9379,5649 is 1.

Lets's calculate GCF of 9379,5649

Greatest Common Factor (GCF) of 9379,5649 By Common Division

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

Greatest Common Factor of 9379,5649 By Matching Biggest Common Factor Method

Now, list down the factors of 9379

1,83,113,9379

Now, list down the factors of 5649

1,3,7,21,269,807,1883,5649

Greatest Common Factor

We found the factors 9379,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 9379,5649 is 1.

Lets's calculate LCM of 827,828

Lowest Common Multiple of 827,828 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 684756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684756

Therefore, the GCF of Fractions 9379/827,5649/828 is 1/684756

Least Common Multiple of 827,828 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 827,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,828) = 1

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

GCF(827,828) x common factors =1 x 1 = 1

LCM(827,828) = ( 827 × 828 ) / 1

LCM(827,828) = 684756 / 1

LCM(827,828) = 684756

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9379/827, 5649/828

1. What is the HCF of 9379,5649?

The HCF of 9379,5649 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 9379/827, 5649/828?

Answer: GCF of Numerators as per given numbers 9379/827, 5649/828 is

GCF of Numerators i.e. for 9379,5649 is 1

LCM of denominators i.e. for 827,828 is 684756.

Thus, GCF of Fractions is 1/684756.Finally, GCF of Fractions for 9379/827, 5649/828 is 1/684756.