How to Find GCF of 7809/225, 9977/1918?

GCF of 7809/225, 9977/1918

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 7809/225, 9977/1918 i.e 1/431550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7809/225, 9977/1918.

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 7809/225,9977/1918?

Given fractions are 7809/225,9977/1918

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 7809/225,9977/1918, numerators are 7809,9977

Denominators are 225,1918

The GCF of 7809,9977 is 1 .

LCM of 225,1918 is 431550.

The greatest common factor of 7809/225,9977/1918 = [GCF of 7809,9977]/[LCM of 225,1918]= 1/431550

Therefore, the GCF of 7809/225,9977/1918 is 1/431550.

Greatest Common Factor of 7809,9977

To find the highest common factor of 7809,9977, we have to find the factors of both numbers and list the highest common factor.

The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809

The factors of 9977 are 1, 11, 907, 9977

The HCF of 7809,9977 is 1.

Lets's calculate GCF of 7809,9977

Greatest Common Factor (GCF) of 7809,9977 By Common Division

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

Greatest Common Factor of 7809,9977 By Matching Biggest Common Factor Method

Now, list down the factors of 7809

1,3,19,57,137,411,2603,7809

Now, list down the factors of 9977

1,11,907,9977

Greatest Common Factor

We found the factors 7809,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 7809,9977 is 1.

Lets's calculate LCM of 225,1918

Lowest Common Multiple of 225,1918 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 431550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431550

Therefore, the GCF of Fractions 7809/225,9977/1918 is 1/431550

Least Common Multiple of 225,1918 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 225,1918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,1918) = 1

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

GCF(225,1918) x common factors =1 x 1 = 1

LCM(225,1918) = ( 225 × 1918 ) / 1

LCM(225,1918) = 431550 / 1

LCM(225,1918) = 431550

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7809/225, 9977/1918

1. What is the HCF of 7809,9977?

The HCF of 7809,9977 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 7809/225, 9977/1918?

Answer: GCF of Numerators as per given numbers 7809/225, 9977/1918 is

GCF of Numerators i.e. for 7809,9977 is 1

LCM of denominators i.e. for 225,1918 is 431550.

Thus, GCF of Fractions is 1/431550.Finally, GCF of Fractions for 7809/225, 9977/1918 is 1/431550.