How to Find GCF of 7963/872, 9859/2686?

GCF of 7963/872, 9859/2686

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 7963/872, 9859/2686 i.e 1/1171096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7963/872, 9859/2686.

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 7963/872,9859/2686?

Given fractions are 7963/872,9859/2686

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 7963/872,9859/2686, numerators are 7963,9859

Denominators are 872,2686

The GCF of 7963,9859 is 1 .

LCM of 872,2686 is 1171096.

The greatest common factor of 7963/872,9859/2686 = [GCF of 7963,9859]/[LCM of 872,2686]= 1/1171096

Therefore, the GCF of 7963/872,9859/2686 is 1/1171096.

Greatest Common Factor of 7963,9859

To find the highest common factor of 7963,9859, we have to find the factors of both numbers and list the highest common factor.

The factors of 7963 are 1, 7963

The factors of 9859 are 1, 9859

The HCF of 7963,9859 is 1.

Lets's calculate GCF of 7963,9859

Greatest Common Factor (GCF) of 7963,9859 By Common Division

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

Greatest Common Factor of 7963,9859 By Matching Biggest Common Factor Method

Now, list down the factors of 7963

1,7963

Now, list down the factors of 9859

1,9859

Greatest Common Factor

We found the factors 7963,9859 . The biggest common factor number is the GCF number.
So the greatest common factor 7963,9859 is 1.

Lets's calculate LCM of 872,2686

Lowest Common Multiple of 872,2686 using Common Division

2	872, 2686
	436, 1343

∴ So the LCM of the given numbers is 2 x 436 x 1343 = 1171096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171096

Therefore, the GCF of Fractions 7963/872,9859/2686 is 1/1171096

Least Common Multiple of 872,2686 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 872,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,2686) = 2

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

GCF(872,2686) x common factors =2 x 1 = 2

LCM(872,2686) = ( 872 × 2686 ) / 2

LCM(872,2686) = 2342192 / 2

LCM(872,2686) = 1171096

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7963/872, 9859/2686

1. What is the HCF of 7963,9859?

The HCF of 7963,9859 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 7963/872, 9859/2686?

Answer: GCF of Numerators as per given numbers 7963/872, 9859/2686 is

GCF of Numerators i.e. for 7963,9859 is 1

LCM of denominators i.e. for 872,2686 is 1171096.

Thus, GCF of Fractions is 1/1171096.Finally, GCF of Fractions for 7963/872, 9859/2686 is 1/1171096.