How to Find GCF of 7879/774, 9645/6584?

GCF of 7879/774, 9645/6584

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 7879/774, 9645/6584 i.e 1/2548008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7879/774, 9645/6584.

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 7879/774,9645/6584?

Given fractions are 7879/774,9645/6584

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 7879/774,9645/6584, numerators are 7879,9645

Denominators are 774,6584

The GCF of 7879,9645 is 1 .

LCM of 774,6584 is 2548008.

The greatest common factor of 7879/774,9645/6584 = [GCF of 7879,9645]/[LCM of 774,6584]= 1/2548008

Therefore, the GCF of 7879/774,9645/6584 is 1/2548008.

Greatest Common Factor of 7879,9645

To find the highest common factor of 7879,9645, we have to find the factors of both numbers and list the highest common factor.

The factors of 7879 are 1, 7879

The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645

The HCF of 7879,9645 is 1.

Lets's calculate GCF of 7879,9645

Greatest Common Factor (GCF) of 7879,9645 By Common Division

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

Greatest Common Factor of 7879,9645 By Matching Biggest Common Factor Method

Now, list down the factors of 7879

1,7879

Now, list down the factors of 9645

1,3,5,15,643,1929,3215,9645

Greatest Common Factor

We found the factors 7879,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 7879,9645 is 1.

Lets's calculate LCM of 774,6584

Lowest Common Multiple of 774,6584 using Common Division

2	774, 6584
	387, 3292

∴ So the LCM of the given numbers is 2 x 387 x 3292 = 2548008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2548008

Therefore, the GCF of Fractions 7879/774,9645/6584 is 1/2548008

Least Common Multiple of 774,6584 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 774,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,6584) = 2

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

GCF(774,6584) x common factors =2 x 1 = 2

LCM(774,6584) = ( 774 × 6584 ) / 2

LCM(774,6584) = 5096016 / 2

LCM(774,6584) = 2548008

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7879/774, 9645/6584

1. What is the HCF of 7879,9645?

The HCF of 7879,9645 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 7879/774, 9645/6584?

Answer: GCF of Numerators as per given numbers 7879/774, 9645/6584 is

GCF of Numerators i.e. for 7879,9645 is 1

LCM of denominators i.e. for 774,6584 is 2548008.

Thus, GCF of Fractions is 1/2548008.Finally, GCF of Fractions for 7879/774, 9645/6584 is 1/2548008.