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GCF of 8129/109, 9326/287

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 8129/109, 9326/287 i.e 1/31283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8129/109, 9326/287.

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 8129/109,9326/287?

Given fractions are 8129/109,9326/287

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 8129/109,9326/287, numerators are 8129,9326

Denominators are 109,287

The GCF of 8129,9326 is 1 .

LCM of 109,287 is 31283.

The greatest common factor of 8129/109,9326/287 = [GCF of 8129,9326]/[LCM of 109,287]= 1/31283

Therefore, the GCF of 8129/109,9326/287 is 1/31283.

Greatest Common Factor of 8129,9326

To find the highest common factor of 8129,9326, we have to find the factors of both numbers and list the highest common factor.

The factors of 8129 are 1, 11, 739, 8129

The factors of 9326 are 1, 2, 4663, 9326

The HCF of 8129,9326 is 1.

Lets's calculate GCF of 8129,9326

Greatest Common Factor (GCF) of 8129,9326 By Common Division

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

Greatest Common Factor of 8129,9326 By Matching Biggest Common Factor Method

Greatest Common Factor of 8129,9326 By Matching Biggest Common Factor Method

Now, list down the factors of 8129

:

1,11,739,8129

Now, list down the factors of 9326

:

1,2,4663,9326

Greatest Common Factor

We found the factors 8129,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 8129,9326 is 1.

Lets's calculate LCM of 109,287

Lowest Common Multiple of 109,287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31283

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31283

Therefore, the GCF of Fractions 8129/109,9326/287 is 1/31283

Least Common Multiple of 109,287 with GCF Formula

Least Common Multiple of 109,287 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 109,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,287) = 1

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

GCF(109,287) x common factors =1 x 1 = 1

LCM(109,287) = ( 109 × 287 ) / 1

LCM(109,287) = 31283 / 1

LCM(109,287) = 31283


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FAQs on GCF of Fractions of 8129/109, 9326/287

1. What is the HCF of 8129,9326?

The HCF of 8129,9326 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 8129/109, 9326/287?

Answer: GCF of Numerators as per given numbers 8129/109, 9326/287 is

GCF of Numerators i.e. for 8129,9326 is 1

LCM of denominators i.e. for 109,287 is 31283.

Thus, GCF of Fractions is 1/31283.Finally, GCF of Fractions for 8129/109, 9326/287 is 1/31283.