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GCF of 7559/866, 9659/9481

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 7559/866, 9659/9481 i.e 1/8210546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7559/866, 9659/9481.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7559/866,9659/9481?

Given fractions are 7559/866,9659/9481

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 7559/866,9659/9481, numerators are 7559,9659

Denominators are 866,9481

The GCF of 7559,9659 is 1 .

LCM of 866,9481 is 8210546.

The greatest common factor of 7559/866,9659/9481 = [GCF of 7559,9659]/[LCM of 866,9481]= 1/8210546

Therefore, the GCF of 7559/866,9659/9481 is 1/8210546.

Greatest Common Factor of 7559,9659

To find the highest common factor of 7559,9659, we have to find the factors of both numbers and list the highest common factor.

The factors of 7559 are 1, 7559

The factors of 9659 are 1, 13, 743, 9659

The HCF of 7559,9659 is 1.

Lets's calculate GCF of 7559,9659

Greatest Common Factor (GCF) of 7559,9659 By Common Division

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

Greatest Common Factor of 7559,9659 By Matching Biggest Common Factor Method

Greatest Common Factor of 7559,9659 By Matching Biggest Common Factor Method

Now, list down the factors of 7559

:

1,7559

Now, list down the factors of 9659

:

1,13,743,9659

Greatest Common Factor

We found the factors 7559,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 7559,9659 is 1.

Lets's calculate LCM of 866,9481

Lowest Common Multiple of 866,9481 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8210546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8210546

Therefore, the GCF of Fractions 7559/866,9659/9481 is 1/8210546

Least Common Multiple of 866,9481 with GCF Formula

Least Common Multiple of 866,9481 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 866,9481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,9481) = 1

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

GCF(866,9481) x common factors =1 x 1 = 1

LCM(866,9481) = ( 866 × 9481 ) / 1

LCM(866,9481) = 8210546 / 1

LCM(866,9481) = 8210546


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7559/866, 9659/9481

1. What is the HCF of 7559,9659?

The HCF of 7559,9659 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 7559/866, 9659/9481?

Answer: GCF of Numerators as per given numbers 7559/866, 9659/9481 is

GCF of Numerators i.e. for 7559,9659 is 1

LCM of denominators i.e. for 866,9481 is 8210546.

Thus, GCF of Fractions is 1/8210546.Finally, GCF of Fractions for 7559/866, 9659/9481 is 1/8210546.