How to Find GCF of 9959/976, 7825/281?

GCF of 9959/976, 7825/281

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 9959/976, 7825/281 i.e 1/274256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9959/976, 7825/281.

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 9959/976,7825/281?

Given fractions are 9959/976,7825/281

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 9959/976,7825/281, numerators are 9959,7825

Denominators are 976,281

The GCF of 9959,7825 is 1 .

LCM of 976,281 is 274256.

The greatest common factor of 9959/976,7825/281 = [GCF of 9959,7825]/[LCM of 976,281]= 1/274256

Therefore, the GCF of 9959/976,7825/281 is 1/274256.

Greatest Common Factor of 9959,7825

To find the highest common factor of 9959,7825, we have to find the factors of both numbers and list the highest common factor.

The factors of 9959 are 1, 23, 433, 9959

The factors of 7825 are 1, 5, 25, 313, 1565, 7825

The HCF of 9959,7825 is 1.

Lets's calculate GCF of 9959,7825

Greatest Common Factor (GCF) of 9959,7825 By Common Division

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

Greatest Common Factor of 9959,7825 By Matching Biggest Common Factor Method

Now, list down the factors of 9959

1,23,433,9959

Now, list down the factors of 7825

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors 9959,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 9959,7825 is 1.

Lets's calculate LCM of 976,281

Lowest Common Multiple of 976,281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 274256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274256

Therefore, the GCF of Fractions 9959/976,7825/281 is 1/274256

Least Common Multiple of 976,281 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 976,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,281) = 1

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

GCF(976,281) x common factors =1 x 1 = 1

LCM(976,281) = ( 976 × 281 ) / 1

LCM(976,281) = 274256 / 1

LCM(976,281) = 274256

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FAQs on GCF of Fractions of 9959/976, 7825/281

1. What is the HCF of 9959,7825?

The HCF of 9959,7825 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 9959/976, 7825/281?

Answer: GCF of Numerators as per given numbers 9959/976, 7825/281 is

GCF of Numerators i.e. for 9959,7825 is 1

LCM of denominators i.e. for 976,281 is 274256.

Thus, GCF of Fractions is 1/274256.Finally, GCF of Fractions for 9959/976, 7825/281 is 1/274256.