How to Find GCF of 9916/890, 7559/8845?

GCF of 9916/890, 7559/8845

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 9916/890, 7559/8845 i.e 1/1574410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9916/890, 7559/8845.

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 9916/890,7559/8845?

Given fractions are 9916/890,7559/8845

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 9916/890,7559/8845, numerators are 9916,7559

Denominators are 890,8845

The GCF of 9916,7559 is 1 .

LCM of 890,8845 is 1574410.

The greatest common factor of 9916/890,7559/8845 = [GCF of 9916,7559]/[LCM of 890,8845]= 1/1574410

Therefore, the GCF of 9916/890,7559/8845 is 1/1574410.

Greatest Common Factor of 9916,7559

To find the highest common factor of 9916,7559, we have to find the factors of both numbers and list the highest common factor.

The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916

The factors of 7559 are 1, 7559

The HCF of 9916,7559 is 1.

Lets's calculate GCF of 9916,7559

Greatest Common Factor (GCF) of 9916,7559 By Common Division

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

Greatest Common Factor of 9916,7559 By Matching Biggest Common Factor Method

Now, list down the factors of 9916

1,2,4,37,67,74,134,148,268,2479,4958,9916

Now, list down the factors of 7559

1,7559

Greatest Common Factor

We found the factors 9916,7559 . The biggest common factor number is the GCF number.
So the greatest common factor 9916,7559 is 1.

Lets's calculate LCM of 890,8845

Lowest Common Multiple of 890,8845 using Common Division

5	890, 8845
	178, 1769

∴ So the LCM of the given numbers is 5 x 178 x 1769 = 1574410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574410

Therefore, the GCF of Fractions 9916/890,7559/8845 is 1/1574410

Least Common Multiple of 890,8845 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 890,8845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,8845) = 5

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

GCF(890,8845) x common factors =5 x 1 = 5

LCM(890,8845) = ( 890 × 8845 ) / 5

LCM(890,8845) = 7872050 / 5

LCM(890,8845) = 1574410

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9916/890, 7559/8845

1. What is the HCF of 9916,7559?

The HCF of 9916,7559 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 9916/890, 7559/8845?

Answer: GCF of Numerators as per given numbers 9916/890, 7559/8845 is

GCF of Numerators i.e. for 9916,7559 is 1

LCM of denominators i.e. for 890,8845 is 1574410.

Thus, GCF of Fractions is 1/1574410.Finally, GCF of Fractions for 9916/890, 7559/8845 is 1/1574410.