How to Find GCF of 9986/809, 1070/768?

GCF of 9986/809, 1070/768

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 9986/809, 1070/768 i.e 2/621312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9986/809, 1070/768.

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 9986/809,1070/768?

Given fractions are 9986/809,1070/768

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 9986/809,1070/768, numerators are 9986,1070

Denominators are 809,768

The GCF of 9986,1070 is 2 .

LCM of 809,768 is 621312.

The greatest common factor of 9986/809,1070/768 = [GCF of 9986,1070]/[LCM of 809,768]= 2/621312

Therefore, the GCF of 9986/809,1070/768 is 2/621312.

Greatest Common Factor of 9986,1070

To find the highest common factor of 9986,1070, we have to find the factors of both numbers and list the highest common factor.

The factors of 9986 are 1, 2, 4993, 9986

The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070

The HCF of 9986,1070 is 2.

Lets's calculate GCF of 9986,1070

Greatest Common Factor (GCF) of 9986,1070 By Common Division

2	9986, 1070
	4993, 535

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9986,1070 By Matching Biggest Common Factor Method

Now, list down the factors of 9986

1,2,4993,9986

Now, list down the factors of 1070

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 9986,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,1070 is 2.

Lets's calculate LCM of 809,768

Lowest Common Multiple of 809,768 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 621312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/621312

Therefore, the GCF of Fractions 9986/809,1070/768 is 2/621312

Least Common Multiple of 809,768 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 809,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,768) = 1

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

GCF(809,768) x common factors =1 x 1 = 1

LCM(809,768) = ( 809 × 768 ) / 1

LCM(809,768) = 621312 / 1

LCM(809,768) = 621312

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9986/809, 1070/768

1. What is the HCF of 9986,1070?

The HCF of 9986,1070 is 2

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 9986/809, 1070/768?

Answer: GCF of Numerators as per given numbers 9986/809, 1070/768 is

GCF of Numerators i.e. for 9986,1070 is 2

LCM of denominators i.e. for 809,768 is 621312.

Thus, GCF of Fractions is 2/621312.Finally, GCF of Fractions for 9986/809, 1070/768 is 2/621312.