How to Find GCF of 7121/905, 4878/9539?

GCF of 7121/905, 4878/9539

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 7121/905, 4878/9539 i.e 1/8632795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7121/905, 4878/9539.

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 7121/905,4878/9539?

Given fractions are 7121/905,4878/9539

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 7121/905,4878/9539, numerators are 7121,4878

Denominators are 905,9539

The GCF of 7121,4878 is 1 .

LCM of 905,9539 is 8632795.

The greatest common factor of 7121/905,4878/9539 = [GCF of 7121,4878]/[LCM of 905,9539]= 1/8632795

Therefore, the GCF of 7121/905,4878/9539 is 1/8632795.

Greatest Common Factor of 7121,4878

To find the highest common factor of 7121,4878, we have to find the factors of both numbers and list the highest common factor.

The factors of 7121 are 1, 7121

The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878

The HCF of 7121,4878 is 1.

Lets's calculate GCF of 7121,4878

Greatest Common Factor (GCF) of 7121,4878 By Common Division

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

Greatest Common Factor of 7121,4878 By Matching Biggest Common Factor Method

Now, list down the factors of 7121

1,7121

Now, list down the factors of 4878

1,2,3,6,9,18,271,542,813,1626,2439,4878

Greatest Common Factor

We found the factors 7121,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 7121,4878 is 1.

Lets's calculate LCM of 905,9539

Lowest Common Multiple of 905,9539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8632795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8632795

Therefore, the GCF of Fractions 7121/905,4878/9539 is 1/8632795

Least Common Multiple of 905,9539 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 905,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,9539) = 1

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

GCF(905,9539) x common factors =1 x 1 = 1

LCM(905,9539) = ( 905 × 9539 ) / 1

LCM(905,9539) = 8632795 / 1

LCM(905,9539) = 8632795

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FAQs on GCF of Fractions of 7121/905, 4878/9539

1. What is the HCF of 7121,4878?

The HCF of 7121,4878 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 7121/905, 4878/9539?

Answer: GCF of Numerators as per given numbers 7121/905, 4878/9539 is

GCF of Numerators i.e. for 7121,4878 is 1

LCM of denominators i.e. for 905,9539 is 8632795.

Thus, GCF of Fractions is 1/8632795.Finally, GCF of Fractions for 7121/905, 4878/9539 is 1/8632795.